[x-(4+5i)][x-(4-5i)]=0

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Solution for [x-(4+5i)][x-(4-5i)]=0 equation: 


Simplifying
[x + -1(4 + 5i)][x + -1(4 + -5i)] = 0
[x + (4 * -1 + 5i * -1)][x + -1(4 + -5i)] = 0
[x + (-4 + -5i)][x + -1(4 + -5i)] = 0

Reorder the terms:
[-4 + -5i + x][x + -1(4 + -5i)] = 0
[-4 + -5i + x][x + (4 * -1 + -5i * -1)] = 0
[-4 + -5i + x][x + (-4 + 5i)] = 0

Reorder the terms:
[-4 + -5i + x][-4 + 5i + x] = 0

Multiply [-4 + -5i + x] * [-4 + 5i + x]
[-4[-4 + 5i + x] + -5i * [-4 + 5i + x] + x[-4 + 5i + x]] = 0
[[-4 * -4 + 5i * -4 + x * -4] + -5i * [-4 + 5i + x] + x[-4 + 5i + x]] = 0
[[16 + -20i + -4x] + -5i * [-4 + 5i + x] + x[-4 + 5i + x]] = 0
[16 + -20i + -4x + [-4 * -5i + 5i * -5i + x * -5i] + x[-4 + 5i + x]] = 0

Reorder the terms:
[16 + -20i + -4x + [20i + -5ix + -25i2] + x[-4 + 5i + x]] = 0
[16 + -20i + -4x + [20i + -5ix + -25i2] + x[-4 + 5i + x]] = 0
[16 + -20i + -4x + 20i + -5ix + -25i2 + [-4 * x + 5i * x + x * x]] = 0

Reorder the terms:
[16 + -20i + -4x + 20i + -5ix + -25i2 + [5ix + -4x + x2]] = 0
[16 + -20i + -4x + 20i + -5ix + -25i2 + [5ix + -4x + x2]] = 0

Reorder the terms:
[16 + -20i + 20i + -5ix + 5ix + -25i2 + -4x + -4x + x2] = 0

Combine like terms: -20i + 20i = 0
[16 + 0 + -5ix + 5ix + -25i2 + -4x + -4x + x2] = 0
[16 + -5ix + 5ix + -25i2 + -4x + -4x + x2] = 0

Combine like terms: -5ix + 5ix = 0
[16 + 0 + -25i2 + -4x + -4x + x2] = 0
[16 + -25i2 + -4x + -4x + x2] = 0

Combine like terms: -4x + -4x = -8x
[16 + -25i2 + -8x + x2] = 0

Solving
16 + -25i2 + -8x + x2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -25i2 + -8x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -25i2 + -8x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -25i2 + -8x + x2 = 0 + -16
-25i2 + -8x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-25i2 + -8x + x2 = -16

Add '8x' to each side of the equation.
-25i2 + -8x + 8x + x2 = -16 + 8x

Combine like terms: -8x + 8x = 0
-25i2 + 0 + x2 = -16 + 8x
-25i2 + x2 = -16 + 8x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -16 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -16 + 8x + -1x2
-25i2 = -16 + 8x + -1x2

Divide each side by '-25'.
i2 = 0.64 + -0.32x + 0.04x2

Simplifying
i2 = 0.64 + -0.32x + 0.04x2

Reorder the terms:
-0.64 + i2 + 0.32x + -0.04x2 = 0.64 + -0.32x + 0.04x2 + -0.64 + 0.32x + -0.04x2

Reorder the terms:
-0.64 + i2 + 0.32x + -0.04x2 = 0.64 + -0.64 + -0.32x + 0.32x + 0.04x2 + -0.04x2

Combine like terms: 0.64 + -0.64 = 0.00
-0.64 + i2 + 0.32x + -0.04x2 = 0.00 + -0.32x + 0.32x + 0.04x2 + -0.04x2
-0.64 + i2 + 0.32x + -0.04x2 = -0.32x + 0.32x + 0.04x2 + -0.04x2

Combine like terms: -0.32x + 0.32x = 0.00
-0.64 + i2 + 0.32x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-0.64 + i2 + 0.32x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-0.64 + i2 + 0.32x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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