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

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


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

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

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

Multiply [2 + -5i + x] * [2 + 5i + x]
[2[2 + 5i + x] + -5i * [2 + 5i + x] + x[2 + 5i + x]] = 0
[[2 * 2 + 5i * 2 + x * 2] + -5i * [2 + 5i + x] + x[2 + 5i + x]] = 0
[[4 + 10i + 2x] + -5i * [2 + 5i + x] + x[2 + 5i + x]] = 0
[4 + 10i + 2x + [2 * -5i + 5i * -5i + x * -5i] + x[2 + 5i + x]] = 0

Reorder the terms:
[4 + 10i + 2x + [-10i + -5ix + -25i2] + x[2 + 5i + x]] = 0
[4 + 10i + 2x + [-10i + -5ix + -25i2] + x[2 + 5i + x]] = 0
[4 + 10i + 2x + -10i + -5ix + -25i2 + [2 * x + 5i * x + x * x]] = 0

Reorder the terms:
[4 + 10i + 2x + -10i + -5ix + -25i2 + [5ix + 2x + x2]] = 0
[4 + 10i + 2x + -10i + -5ix + -25i2 + [5ix + 2x + x2]] = 0

Reorder the terms:
[4 + 10i + -10i + -5ix + 5ix + -25i2 + 2x + 2x + x2] = 0

Combine like terms: 10i + -10i = 0
[4 + 0 + -5ix + 5ix + -25i2 + 2x + 2x + x2] = 0
[4 + -5ix + 5ix + -25i2 + 2x + 2x + x2] = 0

Combine like terms: -5ix + 5ix = 0
[4 + 0 + -25i2 + 2x + 2x + x2] = 0
[4 + -25i2 + 2x + 2x + x2] = 0

Combine like terms: 2x + 2x = 4x
[4 + -25i2 + 4x + x2] = 0

Solving
4 + -25i2 + 4x + x2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -25i2 + 4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -25i2 + 4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25i2 + 4x + x2 = 0 + -4
-25i2 + 4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-25i2 + 4x + x2 = -4

Add '-4x' to each side of the equation.
-25i2 + 4x + -4x + x2 = -4 + -4x

Combine like terms: 4x + -4x = 0
-25i2 + 0 + x2 = -4 + -4x
-25i2 + x2 = -4 + -4x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -4 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -4 + -4x + -1x2
-25i2 = -4 + -4x + -1x2

Divide each side by '-25'.
i2 = 0.16 + 0.16x + 0.04x2

Simplifying
i2 = 0.16 + 0.16x + 0.04x2

Reorder the terms:
-0.16 + i2 + -0.16x + -0.04x2 = 0.16 + 0.16x + 0.04x2 + -0.16 + -0.16x + -0.04x2

Reorder the terms:
-0.16 + i2 + -0.16x + -0.04x2 = 0.16 + -0.16 + 0.16x + -0.16x + 0.04x2 + -0.04x2

Combine like terms: 0.16 + -0.16 = 0.00
-0.16 + i2 + -0.16x + -0.04x2 = 0.00 + 0.16x + -0.16x + 0.04x2 + -0.04x2
-0.16 + i2 + -0.16x + -0.04x2 = 0.16x + -0.16x + 0.04x2 + -0.04x2

Combine like terms: 0.16x + -0.16x = 0.00
-0.16 + i2 + -0.16x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-0.16 + i2 + -0.16x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-0.16 + i2 + -0.16x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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