[x-(8+5i)][x-(8-5i)]=

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Solution for [x-(8+5i)][x-(8-5i)]= equation: 


Simplifying
[x + -1(8 + 5i)][x + -1(8 + -5i)] = 0
[x + (8 * -1 + 5i * -1)][x + -1(8 + -5i)] = 0
[x + (-8 + -5i)][x + -1(8 + -5i)] = 0

Reorder the terms:
[-8 + -5i + x][x + -1(8 + -5i)] = 0
[-8 + -5i + x][x + (8 * -1 + -5i * -1)] = 0
[-8 + -5i + x][x + (-8 + 5i)] = 0

Reorder the terms:
[-8 + -5i + x][-8 + 5i + x] = 0

Multiply [-8 + -5i + x] * [-8 + 5i + x]
[-8[-8 + 5i + x] + -5i * [-8 + 5i + x] + x[-8 + 5i + x]] = 0
[[-8 * -8 + 5i * -8 + x * -8] + -5i * [-8 + 5i + x] + x[-8 + 5i + x]] = 0
[[64 + -40i + -8x] + -5i * [-8 + 5i + x] + x[-8 + 5i + x]] = 0
[64 + -40i + -8x + [-8 * -5i + 5i * -5i + x * -5i] + x[-8 + 5i + x]] = 0

Reorder the terms:
[64 + -40i + -8x + [40i + -5ix + -25i2] + x[-8 + 5i + x]] = 0
[64 + -40i + -8x + [40i + -5ix + -25i2] + x[-8 + 5i + x]] = 0
[64 + -40i + -8x + 40i + -5ix + -25i2 + [-8 * x + 5i * x + x * x]] = 0

Reorder the terms:
[64 + -40i + -8x + 40i + -5ix + -25i2 + [5ix + -8x + x2]] = 0
[64 + -40i + -8x + 40i + -5ix + -25i2 + [5ix + -8x + x2]] = 0

Reorder the terms:
[64 + -40i + 40i + -5ix + 5ix + -25i2 + -8x + -8x + x2] = 0

Combine like terms: -40i + 40i = 0
[64 + 0 + -5ix + 5ix + -25i2 + -8x + -8x + x2] = 0
[64 + -5ix + 5ix + -25i2 + -8x + -8x + x2] = 0

Combine like terms: -5ix + 5ix = 0
[64 + 0 + -25i2 + -8x + -8x + x2] = 0
[64 + -25i2 + -8x + -8x + x2] = 0

Combine like terms: -8x + -8x = -16x
[64 + -25i2 + -16x + x2] = 0

Solving
64 + -25i2 + -16x + x2 = 0

Solving for variable 'i'.

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

Add '-64' to each side of the equation.
64 + -25i2 + -16x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + -25i2 + -16x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -25i2 + -16x + x2 = 0 + -64
-25i2 + -16x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-25i2 + -16x + x2 = -64

Add '16x' to each side of the equation.
-25i2 + -16x + 16x + x2 = -64 + 16x

Combine like terms: -16x + 16x = 0
-25i2 + 0 + x2 = -64 + 16x
-25i2 + x2 = -64 + 16x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -64 + 16x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -64 + 16x + -1x2
-25i2 = -64 + 16x + -1x2

Divide each side by '-25'.
i2 = 2.56 + -0.64x + 0.04x2

Simplifying
i2 = 2.56 + -0.64x + 0.04x2

Reorder the terms:
-2.56 + i2 + 0.64x + -0.04x2 = 2.56 + -0.64x + 0.04x2 + -2.56 + 0.64x + -0.04x2

Reorder the terms:
-2.56 + i2 + 0.64x + -0.04x2 = 2.56 + -2.56 + -0.64x + 0.64x + 0.04x2 + -0.04x2

Combine like terms: 2.56 + -2.56 = 0.00
-2.56 + i2 + 0.64x + -0.04x2 = 0.00 + -0.64x + 0.64x + 0.04x2 + -0.04x2
-2.56 + i2 + 0.64x + -0.04x2 = -0.64x + 0.64x + 0.04x2 + -0.04x2

Combine like terms: -0.64x + 0.64x = 0.00
-2.56 + i2 + 0.64x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-2.56 + i2 + 0.64x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-2.56 + i2 + 0.64x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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