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

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


Simplifying
0 = (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))

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

Reorder the terms:
0 = (-6 + -5i + x)(-6 + 5i + x)

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

Reorder the terms:
0 = (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))

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

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

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

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

Combine like terms: -6x + -6x = -12x
0 = (36 + -25i2 + -12x + x2)

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

Solving for variable 'i'.

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

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

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

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

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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