[x-(-6-5i)][x-(-6+5i)]=0

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Solution for [x-(-6-5i)][x-(-6+5i)]=0 equation: 


Simplifying
[x + -1(-6 + -5i)][x + -1(-6 + 5i)] = 0
[x + (-6 * -1 + -5i * -1)][x + -1(-6 + 5i)] = 0
[x + (6 + 5i)][x + -1(-6 + 5i)] = 0

Reorder the terms:
[6 + 5i + x][x + -1(-6 + 5i)] = 0
[6 + 5i + x][x + (-6 * -1 + 5i * -1)] = 0
[6 + 5i + x][x + (6 + -5i)] = 0

Reorder the terms:
[6 + 5i + x][6 + -5i + x] = 0

Multiply [6 + 5i + x] * [6 + -5i + x]
[6[6 + -5i + x] + 5i * [6 + -5i + x] + x[6 + -5i + x]] = 0
[[6 * 6 + -5i * 6 + x * 6] + 5i * [6 + -5i + x] + x[6 + -5i + x]] = 0
[[36 + -30i + 6x] + 5i * [6 + -5i + x] + x[6 + -5i + x]] = 0
[36 + -30i + 6x + [6 * 5i + -5i * 5i + x * 5i] + x[6 + -5i + x]] = 0

Reorder the terms:
[36 + -30i + 6x + [30i + 5ix + -25i2] + x[6 + -5i + x]] = 0
[36 + -30i + 6x + [30i + 5ix + -25i2] + x[6 + -5i + x]] = 0
[36 + -30i + 6x + 30i + 5ix + -25i2 + [6 * x + -5i * x + x * x]] = 0

Reorder the terms:
[36 + -30i + 6x + 30i + 5ix + -25i2 + [-5ix + 6x + x2]] = 0
[36 + -30i + 6x + 30i + 5ix + -25i2 + [-5ix + 6x + x2]] = 0

Reorder the terms:
[36 + -30i + 30i + 5ix + -5ix + -25i2 + 6x + 6x + x2] = 0

Combine like terms: -30i + 30i = 0
[36 + 0 + 5ix + -5ix + -25i2 + 6x + 6x + x2] = 0
[36 + 5ix + -5ix + -25i2 + 6x + 6x + x2] = 0

Combine like terms: 5ix + -5ix = 0
[36 + 0 + -25i2 + 6x + 6x + x2] = 0
[36 + -25i2 + 6x + 6x + x2] = 0

Combine like terms: 6x + 6x = 12x
[36 + -25i2 + 12x + x2] = 0

Solving
36 + -25i2 + 12x + x2 = 0

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -25i2 + 12x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -25i2 + 12x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -25i2 + 12x + x2 = 0 + -36
-25i2 + 12x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-25i2 + 12x + x2 = -36

Add '-12x' to each side of the equation.
-25i2 + 12x + -12x + x2 = -36 + -12x

Combine like terms: 12x + -12x = 0
-25i2 + 0 + x2 = -36 + -12x
-25i2 + x2 = -36 + -12x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -36 + -12x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -36 + -12x + -1x2
-25i2 = -36 + -12x + -1x2

Divide each side by '-25'.
i2 = 1.44 + 0.48x + 0.04x2

Simplifying
i2 = 1.44 + 0.48x + 0.04x2

Reorder the terms:
-1.44 + i2 + -0.48x + -0.04x2 = 1.44 + 0.48x + 0.04x2 + -1.44 + -0.48x + -0.04x2

Reorder the terms:
-1.44 + i2 + -0.48x + -0.04x2 = 1.44 + -1.44 + 0.48x + -0.48x + 0.04x2 + -0.04x2

Combine like terms: 1.44 + -1.44 = 0.00
-1.44 + i2 + -0.48x + -0.04x2 = 0.00 + 0.48x + -0.48x + 0.04x2 + -0.04x2
-1.44 + i2 + -0.48x + -0.04x2 = 0.48x + -0.48x + 0.04x2 + -0.04x2

Combine like terms: 0.48x + -0.48x = 0.00
-1.44 + i2 + -0.48x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-1.44 + i2 + -0.48x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-1.44 + i2 + -0.48x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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