(x-15i)(x-15i)=0

Solution for (x-15i)(x-15i)=0 equation:

Simplifying
(x + -15i)(x + -15i) = 0

Reorder the terms:
(-15i + x)(x + -15i) = 0

Reorder the terms:
(-15i + x)(-15i + x) = 0

Multiply (-15i + x) * (-15i + x)
(-15i * (-15i + x) + x(-15i + x)) = 0
((-15i * -15i + x * -15i) + x(-15i + x)) = 0

Reorder the terms:
((-15ix + 225i2) + x(-15i + x)) = 0
((-15ix + 225i2) + x(-15i + x)) = 0
(-15ix + 225i2 + (-15i * x + x * x)) = 0
(-15ix + 225i2 + (-15ix + x2)) = 0

Reorder the terms:
(-15ix + -15ix + 225i2 + x2) = 0

Combine like terms: -15ix + -15ix = -30ix
(-30ix + 225i2 + x2) = 0

Solving
-30ix + 225i2 + x2 = 0

Solving for variable 'i'.

Factor a trinomial.
(15i + -1x)(15i + -1x) = 0

Subproblem 1
Set the factor '(15i + -1x)' equal to zero and attempt to solve:

Simplifying
15i + -1x = 0

Solving
15i + -1x = 0

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

Add 'x' to each side of the equation.
15i + -1x + x = 0 + x

Combine like terms: -1x + x = 0
15i + 0 = 0 + x
15i = 0 + x
Remove the zero:
15i = x

Divide each side by '15'.
i = 0.06666666667x

Simplifying
i = 0.06666666667x
Subproblem 2
Set the factor '(15i + -1x)' equal to zero and attempt to solve:

Simplifying
15i + -1x = 0

Solving
15i + -1x = 0

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

Add 'x' to each side of the equation.
15i + -1x + x = 0 + x

Combine like terms: -1x + x = 0
15i + 0 = 0 + x
15i = 0 + x
Remove the zero:
15i = x

Divide each side by '15'.
i = 0.06666666667x

Simplifying
i = 0.06666666667x
Solution
i = {0.06666666667x, 0.06666666667x}