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

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


Simplifying
(x + -6 + -5i)(x + -6 + 5i) = 0

Reorder the terms:
(-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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