=(x-7-5i)(x-7+5i)

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Solution for =(x-7-5i)(x-7+5i) equation: 


Simplifying
0 = (x + -7 + -5i)(x + -7 + 5i)

Reorder the terms:
0 = (-7 + -5i + x)(x + -7 + 5i)

Reorder the terms:
0 = (-7 + -5i + x)(-7 + 5i + x)

Multiply (-7 + -5i + x) * (-7 + 5i + x)
0 = (-7(-7 + 5i + x) + -5i * (-7 + 5i + x) + x(-7 + 5i + x))
0 = ((-7 * -7 + 5i * -7 + x * -7) + -5i * (-7 + 5i + x) + x(-7 + 5i + x))
0 = ((49 + -35i + -7x) + -5i * (-7 + 5i + x) + x(-7 + 5i + x))
0 = (49 + -35i + -7x + (-7 * -5i + 5i * -5i + x * -5i) + x(-7 + 5i + x))

Reorder the terms:
0 = (49 + -35i + -7x + (35i + -5ix + -25i2) + x(-7 + 5i + x))
0 = (49 + -35i + -7x + (35i + -5ix + -25i2) + x(-7 + 5i + x))
0 = (49 + -35i + -7x + 35i + -5ix + -25i2 + (-7 * x + 5i * x + x * x))

Reorder the terms:
0 = (49 + -35i + -7x + 35i + -5ix + -25i2 + (5ix + -7x + x2))
0 = (49 + -35i + -7x + 35i + -5ix + -25i2 + (5ix + -7x + x2))

Reorder the terms:
0 = (49 + -35i + 35i + -5ix + 5ix + -25i2 + -7x + -7x + x2)

Combine like terms: -35i + 35i = 0
0 = (49 + 0 + -5ix + 5ix + -25i2 + -7x + -7x + x2)
0 = (49 + -5ix + 5ix + -25i2 + -7x + -7x + x2)

Combine like terms: -5ix + 5ix = 0
0 = (49 + 0 + -25i2 + -7x + -7x + x2)
0 = (49 + -25i2 + -7x + -7x + x2)

Combine like terms: -7x + -7x = -14x
0 = (49 + -25i2 + -14x + x2)

Solving
0 = 49 + -25i2 + -14x + 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 = 49 + -25i2 + -14x + 25i2 + x2
Remove the zero:
25i2 = 49 + -25i2 + -14x + 25i2 + x2

Reorder the terms:
25i2 = 49 + -25i2 + 25i2 + -14x + x2

Combine like terms: -25i2 + 25i2 = 0
25i2 = 49 + 0 + -14x + x2
25i2 = 49 + -14x + x2

Divide each side by '25'.
i2 = 1.96 + -0.56x + 0.04x2

Simplifying
i2 = 1.96 + -0.56x + 0.04x2

Reorder the terms:
-1.96 + i2 + 0.56x + -0.04x2 = 1.96 + -0.56x + 0.04x2 + -1.96 + 0.56x + -0.04x2

Reorder the terms:
-1.96 + i2 + 0.56x + -0.04x2 = 1.96 + -1.96 + -0.56x + 0.56x + 0.04x2 + -0.04x2

Combine like terms: 1.96 + -1.96 = 0.00
-1.96 + i2 + 0.56x + -0.04x2 = 0.00 + -0.56x + 0.56x + 0.04x2 + -0.04x2
-1.96 + i2 + 0.56x + -0.04x2 = -0.56x + 0.56x + 0.04x2 + -0.04x2

Combine like terms: -0.56x + 0.56x = 0.00
-1.96 + i2 + 0.56x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-1.96 + i2 + 0.56x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-1.96 + i2 + 0.56x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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