(x-7-8i)(x-7+8i)=0

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Solution for (x-7-8i)(x-7+8i)=0 equation: 


Simplifying
(x + -7 + -8i)(x + -7 + 8i) = 0

Reorder the terms:
(-7 + -8i + x)(x + -7 + 8i) = 0

Reorder the terms:
(-7 + -8i + x)(-7 + 8i + x) = 0

Multiply (-7 + -8i + x) * (-7 + 8i + x)
(-7(-7 + 8i + x) + -8i * (-7 + 8i + x) + x(-7 + 8i + x)) = 0
((-7 * -7 + 8i * -7 + x * -7) + -8i * (-7 + 8i + x) + x(-7 + 8i + x)) = 0
((49 + -56i + -7x) + -8i * (-7 + 8i + x) + x(-7 + 8i + x)) = 0
(49 + -56i + -7x + (-7 * -8i + 8i * -8i + x * -8i) + x(-7 + 8i + x)) = 0

Reorder the terms:
(49 + -56i + -7x + (56i + -8ix + -64i2) + x(-7 + 8i + x)) = 0
(49 + -56i + -7x + (56i + -8ix + -64i2) + x(-7 + 8i + x)) = 0
(49 + -56i + -7x + 56i + -8ix + -64i2 + (-7 * x + 8i * x + x * x)) = 0

Reorder the terms:
(49 + -56i + -7x + 56i + -8ix + -64i2 + (8ix + -7x + x2)) = 0
(49 + -56i + -7x + 56i + -8ix + -64i2 + (8ix + -7x + x2)) = 0

Reorder the terms:
(49 + -56i + 56i + -8ix + 8ix + -64i2 + -7x + -7x + x2) = 0

Combine like terms: -56i + 56i = 0
(49 + 0 + -8ix + 8ix + -64i2 + -7x + -7x + x2) = 0
(49 + -8ix + 8ix + -64i2 + -7x + -7x + x2) = 0

Combine like terms: -8ix + 8ix = 0
(49 + 0 + -64i2 + -7x + -7x + x2) = 0
(49 + -64i2 + -7x + -7x + x2) = 0

Combine like terms: -7x + -7x = -14x
(49 + -64i2 + -14x + x2) = 0

Solving
49 + -64i2 + -14x + x2 = 0

Solving for variable 'i'.

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

Add '-49' to each side of the equation.
49 + -64i2 + -14x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + -64i2 + -14x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -64i2 + -14x + x2 = 0 + -49
-64i2 + -14x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-64i2 + -14x + x2 = -49

Add '14x' to each side of the equation.
-64i2 + -14x + 14x + x2 = -49 + 14x

Combine like terms: -14x + 14x = 0
-64i2 + 0 + x2 = -49 + 14x
-64i2 + x2 = -49 + 14x

Add '-1x2' to each side of the equation.
-64i2 + x2 + -1x2 = -49 + 14x + -1x2

Combine like terms: x2 + -1x2 = 0
-64i2 + 0 = -49 + 14x + -1x2
-64i2 = -49 + 14x + -1x2

Divide each side by '-64'.
i2 = 0.765625 + -0.21875x + 0.015625x2

Simplifying
i2 = 0.765625 + -0.21875x + 0.015625x2

Reorder the terms:
-0.765625 + i2 + 0.21875x + -0.015625x2 = 0.765625 + -0.21875x + 0.015625x2 + -0.765625 + 0.21875x + -0.015625x2

Reorder the terms:
-0.765625 + i2 + 0.21875x + -0.015625x2 = 0.765625 + -0.765625 + -0.21875x + 0.21875x + 0.015625x2 + -0.015625x2

Combine like terms: 0.765625 + -0.765625 = 0.000000
-0.765625 + i2 + 0.21875x + -0.015625x2 = 0.000000 + -0.21875x + 0.21875x + 0.015625x2 + -0.015625x2
-0.765625 + i2 + 0.21875x + -0.015625x2 = -0.21875x + 0.21875x + 0.015625x2 + -0.015625x2

Combine like terms: -0.21875x + 0.21875x = 0.00000
-0.765625 + i2 + 0.21875x + -0.015625x2 = 0.00000 + 0.015625x2 + -0.015625x2
-0.765625 + i2 + 0.21875x + -0.015625x2 = 0.015625x2 + -0.015625x2

Combine like terms: 0.015625x2 + -0.015625x2 = 0.000000
-0.765625 + i2 + 0.21875x + -0.015625x2 = 0.000000

The solution to this equation could not be determined.

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