a[x-(-2-3i)][x-(-2+3i)][x-(-5)][x-(-5)]=0

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Solution for a[x-(-2-3i)][x-(-2+3i)][x-(-5)][x-(-5)]=0 equation:

Simplifying
a[x + -1(-2 + -3i)][x + -1(-2 + 3i)][x + -1(-5)][x + -1(-5)] = 0
a[x + (-2 * -1 + -3i * -1)][x + -1(-2 + 3i)][x + -1(-5)][x + -1(-5)] = 0
a[x + (2 + 3i)][x + -1(-2 + 3i)][x + -1(-5)][x + -1(-5)] = 0

Reorder the terms:
a[2 + 3i + x][x + -1(-2 + 3i)][x + -1(-5)][x + -1(-5)] = 0
a[2 + 3i + x][x + (-2 * -1 + 3i * -1)][x + -1(-5)][x + -1(-5)] = 0
a[2 + 3i + x][x + (2 + -3i)][x + -1(-5)][x + -1(-5)] = 0

Reorder the terms:
a[2 + 3i + x][2 + -3i + x][x + -1(-5)][x + -1(-5)] = 0

Multiply -1 * -5
a[2 + 3i + x][2 + -3i + x][x + 5][x + -1(-5)] = 0

Reorder the terms:
a[2 + 3i + x][2 + -3i + x][5 + x][x + -1(-5)] = 0

Multiply -1 * -5
a[2 + 3i + x][2 + -3i + x][5 + x][x + 5] = 0

Reorder the terms:
a[2 + 3i + x][2 + -3i + x][5 + x][5 + x] = 0

Multiply [2 + 3i + x] * [2 + -3i + x]
a[2[2 + -3i + x] + 3i * [2 + -3i + x] + x[2 + -3i + x]][5 + x][5 + x] = 0
a[[2 * 2 + -3i * 2 + x * 2] + 3i * [2 + -3i + x] + x[2 + -3i + x]][5 + x][5 + x] = 0
a[[4 + -6i + 2x] + 3i * [2 + -3i + x] + x[2 + -3i + x]][5 + x][5 + x] = 0
a[4 + -6i + 2x + [2 * 3i + -3i * 3i + x * 3i] + x[2 + -3i + x]][5 + x][5 + x] = 0

Reorder the terms:
a[4 + -6i + 2x + [6i + 3ix + -9i²] + x[2 + -3i + x]][5 + x][5 + x] = 0
a[4 + -6i + 2x + [6i + 3ix + -9i²] + x[2 + -3i + x]][5 + x][5 + x] = 0
a[4 + -6i + 2x + 6i + 3ix + -9i² + [2 * x + -3i * x + x * x]][5 + x][5 + x] = 0

Reorder the terms:
a[4 + -6i + 2x + 6i + 3ix + -9i² + [-3ix + 2x + x²]][5 + x][5 + x] = 0
a[4 + -6i + 2x + 6i + 3ix + -9i² + [-3ix + 2x + x²]][5 + x][5 + x] = 0

Reorder the terms:
a[4 + -6i + 6i + 3ix + -3ix + -9i² + 2x + 2x + x²][5 + x][5 + x] = 0

Combine like terms: -6i + 6i = 0
a[4 + 0 + 3ix + -3ix + -9i² + 2x + 2x + x²][5 + x][5 + x] = 0
a[4 + 3ix + -3ix + -9i² + 2x + 2x + x²][5 + x][5 + x] = 0

Combine like terms: 3ix + -3ix = 0
a[4 + 0 + -9i² + 2x + 2x + x²][5 + x][5 + x] = 0
a[4 + -9i² + 2x + 2x + x²][5 + x][5 + x] = 0

Combine like terms: 2x + 2x = 4x
a[4 + -9i² + 4x + x²][5 + x][5 + x] = 0

Multiply [4 + -9i² + 4x + x²] * [5 + x]
a[4[5 + x] + -9i² * [5 + x] + 4x * [5 + x] + x²[5 + x]][5 + x] = 0
a[[5 * 4 + x * 4] + -9i² * [5 + x] + 4x * [5 + x] + x²[5 + x]][5 + x] = 0
a[[20 + 4x] + -9i² * [5 + x] + 4x * [5 + x] + x²[5 + x]][5 + x] = 0
a[20 + 4x + [5 * -9i² + x * -9i²] + 4x * [5 + x] + x²[5 + x]][5 + x] = 0
a[20 + 4x + [-45i² + -9i²x] + 4x * [5 + x] + x²[5 + x]][5 + x] = 0
a[20 + 4x + -45i² + -9i²x + [5 * 4x + x * 4x] + x²[5 + x]][5 + x] = 0
a[20 + 4x + -45i² + -9i²x + [20x + 4x²] + x²[5 + x]][5 + x] = 0
a[20 + 4x + -45i² + -9i²x + 20x + 4x² + [5 * x² + x * x²]][5 + x] = 0
a[20 + 4x + -45i² + -9i²x + 20x + 4x² + [5x² + x³]][5 + x] = 0

Reorder the terms:
a[20 + -45i² + -9i²x + 4x + 20x + 4x² + 5x² + x³][5 + x] = 0

Combine like terms: 4x + 20x = 24x
a[20 + -45i² + -9i²x + 24x + 4x² + 5x² + x³][5 + x] = 0

Combine like terms: 4x² + 5x² = 9x²
a[20 + -45i² + -9i²x + 24x + 9x² + x³][5 + x] = 0

Multiply [20 + -45i² + -9i²x + 24x + 9x² + x³] * [5 + x]
a[20[5 + x] + -45i² * [5 + x] + -9i²x * [5 + x] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[[5 * 20 + x * 20] + -45i² * [5 + x] + -9i²x * [5 + x] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[[100 + 20x] + -45i² * [5 + x] + -9i²x * [5 + x] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + [5 * -45i² + x * -45i²] + -9i²x * [5 + x] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + [-225i² + -45i²x] + -9i²x * [5 + x] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + [5 * -9i²x + x * -9i²x] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + [-45i²x + -9i²x²] + 24x * [5 + x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + -45i²x + -9i²x² + [5 * 24x + x * 24x] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + -45i²x + -9i²x² + [120x + 24x²] + 9x² * [5 + x] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + -45i²x + -9i²x² + 120x + 24x² + [5 * 9x² + x * 9x²] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + -45i²x + -9i²x² + 120x + 24x² + [45x² + 9x³] + x³[5 + x]] = 0
a[100 + 20x + -225i² + -45i²x + -45i²x + -9i²x² + 120x + 24x² + 45x² + 9x³ + [5 * x³ + x * x³]] = 0
a[100 + 20x + -225i² + -45i²x + -45i²x + -9i²x² + 120x + 24x² + 45x² + 9x³ + [5x³ + x⁴]] = 0

Reorder the terms:
a[100 + -225i² + -45i²x + -45i²x + -9i²x² + 20x + 120x + 24x² + 45x² + 9x³ + 5x³ + x⁴] = 0

Combine like terms: -45i²x + -45i²x = -90i²x
a[100 + -225i² + -90i²x + -9i²x² + 20x + 120x + 24x² + 45x² + 9x³ + 5x³ + x⁴] = 0

Combine like terms: 20x + 120x = 140x
a[100 + -225i² + -90i²x + -9i²x² + 140x + 24x² + 45x² + 9x³ + 5x³ + x⁴] = 0

Combine like terms: 24x² + 45x² = 69x²
a[100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 9x³ + 5x³ + x⁴] = 0

Combine like terms: 9x³ + 5x³ = 14x³
a[100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴] = 0
[100 * a + -225i² * a + -90i²x * a + -9i²x² * a + 140x * a + 69x² * a + 14x³ * a + x⁴ * a] = 0
[100a + -225ai² + -90ai²x + -9ai²x² + 140ax + 69ax² + 14ax³ + ax⁴] = 0

Solving
100a + -225ai² + -90ai²x + -9ai²x² + 140ax + 69ax² + 14ax³ + ax⁴ = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'a'.
a(100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴) = 0

Subproblem 1Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0
Subproblem 2
Set the factor '(100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴)' equal to zero and attempt to solve:

Simplifying
100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = 0

Solving
100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = 0

Move all terms containing a to the left, all other terms to the right.

Add '-100' to each side of the equation.
100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + -100 + x⁴ = 0 + -100

Reorder the terms:
100 + -100 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -100
-225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -100

Combine like terms: 0 + -100 = -100
-225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = -100

Add '225i²' to each side of the equation.
-225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + 225i² + x⁴ = -100 + 225i²

Reorder the terms:
-225i² + 225i² + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i²

Combine like terms: -225i² + 225i² = 0
0 + -90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i²
-90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i²

Add '90i²x' to each side of the equation.
-90i²x + -9i²x² + 140x + 69x² + 14x³ + 90i²x + x⁴ = -100 + 225i² + 90i²x

Reorder the terms:
-90i²x + 90i²x + -9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x

Combine like terms: -90i²x + 90i²x = 0
0 + -9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x
-9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x

Add '9i²x²' to each side of the equation.
-9i²x² + 140x + 69x² + 14x³ + 9i²x² + x⁴ = -100 + 225i² + 90i²x + 9i²x²

Reorder the terms:
-9i²x² + 9i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x²

Combine like terms: -9i²x² + 9i²x² = 0
0 + 140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x²
140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x²

Add '-140x' to each side of the equation.
140x + 69x² + 14x³ + -140x + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x

Reorder the terms:
140x + -140x + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x

Combine like terms: 140x + -140x = 0
0 + 69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x
69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x

Add '-69x²' to each side of the equation.
69x² + 14x³ + -69x² + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x²

Reorder the terms:
69x² + -69x² + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x²

Combine like terms: 69x² + -69x² = 0
0 + 14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x²
14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x²

Add '-14x³' to each side of the equation.
14x³ + -14x³ + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x² + -14x³

Combine like terms: 14x³ + -14x³ = 0
0 + x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x² + -14x³
x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x² + -14x³

Add '-1x⁴' to each side of the equation.
x⁴ + -1x⁴ = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x² + -14x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
0 = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x² + -14x³ + -1x⁴

Simplifying
0 = -100 + 225i² + 90i²x + 9i²x² + -140x + -69x² + -14x³ + -1x⁴

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.Solution
a = {0}

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a[x-(-2-3i)][x-(-2+3i)][x-(-5)][x-(-5)]=0

Simple and best practice solution for a[x-(-2-3i)][x-(-2+3i)][x-(-5)][x-(-5)]=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for a[x-(-2-3i)][x-(-2+3i)][x-(-5)][x-(-5)]=0 equation:

Subproblem 1

Subproblem 2

Solution

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