(x-3)[x-(4+3i)][x-(4-3i)]=0

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Solution for (x-3)[x-(4+3i)][x-(4-3i)]=0 equation:

Simplifying
(x + -3)[x + -1(4 + 3i)][x + -1(4 + -3i)] = 0

Reorder the terms:
(-3 + x)[x + -1(4 + 3i)][x + -1(4 + -3i)] = 0
(-3 + x)[x + (4 * -1 + 3i * -1)][x + -1(4 + -3i)] = 0
(-3 + x)[x + (-4 + -3i)][x + -1(4 + -3i)] = 0

Reorder the terms:
(-3 + x)[-4 + -3i + x][x + -1(4 + -3i)] = 0
(-3 + x)[-4 + -3i + x][x + (4 * -1 + -3i * -1)] = 0
(-3 + x)[-4 + -3i + x][x + (-4 + 3i)] = 0

Reorder the terms:
(-3 + x)[-4 + -3i + x][-4 + 3i + x] = 0

Multiply (-3 + x) * [-4 + -3i + x]
(-3[-4 + -3i + x] + x[-4 + -3i + x])[-4 + 3i + x] = 0
([-4 * -3 + -3i * -3 + x * -3] + x[-4 + -3i + x])[-4 + 3i + x] = 0
([12 + 9i + -3x] + x[-4 + -3i + x])[-4 + 3i + x] = 0
(12 + 9i + -3x + [-4 * x + -3i * x + x * x])[-4 + 3i + x] = 0

Reorder the terms:
(12 + 9i + -3x + [-3ix + -4x + x²])[-4 + 3i + x] = 0
(12 + 9i + -3x + [-3ix + -4x + x²])[-4 + 3i + x] = 0

Reorder the terms:
(12 + 9i + -3ix + -3x + -4x + x²)[-4 + 3i + x] = 0

Combine like terms: -3x + -4x = -7x
(12 + 9i + -3ix + -7x + x²)[-4 + 3i + x] = 0

Multiply (12 + 9i + -3ix + -7x + x²) * [-4 + 3i + x]
(12[-4 + 3i + x] + 9i * [-4 + 3i + x] + -3ix * [-4 + 3i + x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
([-4 * 12 + 3i * 12 + x * 12] + 9i * [-4 + 3i + x] + -3ix * [-4 + 3i + x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
([-48 + 36i + 12x] + 9i * [-4 + 3i + x] + -3ix * [-4 + 3i + x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + [-4 * 9i + 3i * 9i + x * 9i] + -3ix * [-4 + 3i + x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0

Reorder the terms:
(-48 + 36i + 12x + [-36i + 9ix + 27i²] + -3ix * [-4 + 3i + x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + [-36i + 9ix + 27i²] + -3ix * [-4 + 3i + x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + [-4 * -3ix + 3i * -3ix + x * -3ix] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + [12ix + -3ix² + -9i²x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + [12ix + -3ix² + -9i²x] + -7x * [-4 + 3i + x] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + 12ix + -3ix² + -9i²x + [-4 * -7x + 3i * -7x + x * -7x] + x²[-4 + 3i + x]) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + 12ix + -3ix² + -9i²x + [-21ix + 28x + -7x²] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + 12ix + -3ix² + -9i²x + [-21ix + 28x + -7x²] + x²[-4 + 3i + x]) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + 12ix + -3ix² + -9i²x + -21ix + 28x + -7x² + [-4 * x² + 3i * x² + x * x²]) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + 12ix + -3ix² + -9i²x + -21ix + 28x + -7x² + [3ix² + -4x² + x³]) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + 12ix + -3ix² + -9i²x + -21ix + 28x + -7x² + [3ix² + -4x² + x³]) = 0

Reorder the terms:
(-48 + 36i + -36i + 9ix + 12ix + -21ix + -3ix² + 3ix² + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0

Combine like terms: 36i + -36i = 0
(-48 + 0 + 9ix + 12ix + -21ix + -3ix² + 3ix² + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0
(-48 + 9ix + 12ix + -21ix + -3ix² + 3ix² + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0

Combine like terms: 9ix + 12ix = 21ix
(-48 + 21ix + -21ix + -3ix² + 3ix² + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0

Combine like terms: 21ix + -21ix = 0
(-48 + 0 + -3ix² + 3ix² + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0
(-48 + -3ix² + 3ix² + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0

Combine like terms: -3ix² + 3ix² = 0
(-48 + 0 + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0
(-48 + 27i² + -9i²x + 12x + 28x + -7x² + -4x² + x³) = 0

Combine like terms: 12x + 28x = 40x
(-48 + 27i² + -9i²x + 40x + -7x² + -4x² + x³) = 0

Combine like terms: -7x² + -4x² = -11x²
(-48 + 27i² + -9i²x + 40x + -11x² + x³) = 0

Solving
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 0

Solving for variable 'i'.

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

Add '48' to each side of the equation.
-48 + 27i² + -9i²x + 40x + -11x² + 48 + x³ = 0 + 48

Reorder the terms:
-48 + 48 + 27i² + -9i²x + 40x + -11x² + x³ = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 27i² + -9i²x + 40x + -11x² + x³ = 0 + 48
27i² + -9i²x + 40x + -11x² + x³ = 0 + 48

Combine like terms: 0 + 48 = 48
27i² + -9i²x + 40x + -11x² + x³ = 48

Add '-40x' to each side of the equation.
27i² + -9i²x + 40x + -11x² + -40x + x³ = 48 + -40x

Reorder the terms:
27i² + -9i²x + 40x + -40x + -11x² + x³ = 48 + -40x

Combine like terms: 40x + -40x = 0
27i² + -9i²x + 0 + -11x² + x³ = 48 + -40x
27i² + -9i²x + -11x² + x³ = 48 + -40x

Add '11x²' to each side of the equation.
27i² + -9i²x + -11x² + 11x² + x³ = 48 + -40x + 11x²

Combine like terms: -11x² + 11x² = 0
27i² + -9i²x + 0 + x³ = 48 + -40x + 11x²
27i² + -9i²x + x³ = 48 + -40x + 11x²

Add '-1x³' to each side of the equation.
27i² + -9i²x + x³ + -1x³ = 48 + -40x + 11x² + -1x³

Combine like terms: x³ + -1x³ = 0
27i² + -9i²x + 0 = 48 + -40x + 11x² + -1x³
27i² + -9i²x = 48 + -40x + 11x² + -1x³

Reorder the terms:
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 48 + -40x + 11x² + -1x³ + -48 + 40x + -11x² + x³

Reorder the terms:
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 48 + -48 + -40x + 40x + 11x² + -11x² + -1x³ + x³

Combine like terms: 48 + -48 = 0
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 0 + -40x + 40x + 11x² + -11x² + -1x³ + x³
-48 + 27i² + -9i²x + 40x + -11x² + x³ = -40x + 40x + 11x² + -11x² + -1x³ + x³

Combine like terms: -40x + 40x = 0
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 0 + 11x² + -11x² + -1x³ + x³
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 11x² + -11x² + -1x³ + x³

Combine like terms: 11x² + -11x² = 0
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 0 + -1x³ + x³
-48 + 27i² + -9i²x + 40x + -11x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
-48 + 27i² + -9i²x + 40x + -11x² + x³ = 0

The solution to this equation could not be determined.

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(x-3)[x-(4+3i)][x-(4-3i)]=0

Simple and best practice solution for (x-3)[x-(4+3i)][x-(4-3i)]=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 (x-3)[x-(4+3i)][x-(4-3i)]=0 equation:

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