(x-2i)(x-2i)=

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Solution for (x-2i)(x-2i)= equation:


Simplifying
(x + -2i)(x + -2i) = 0

Reorder the terms:
(-2i + x)(x + -2i) = 0

Reorder the terms:
(-2i + x)(-2i + x) = 0

Multiply (-2i + x) * (-2i + x)
(-2i * (-2i + x) + x(-2i + x)) = 0
((-2i * -2i + x * -2i) + x(-2i + x)) = 0

Reorder the terms:
((-2ix + 4i2) + x(-2i + x)) = 0
((-2ix + 4i2) + x(-2i + x)) = 0
(-2ix + 4i2 + (-2i * x + x * x)) = 0
(-2ix + 4i2 + (-2ix + x2)) = 0

Reorder the terms:
(-2ix + -2ix + 4i2 + x2) = 0

Combine like terms: -2ix + -2ix = -4ix
(-4ix + 4i2 + x2) = 0

Solving
-4ix + 4i2 + x2 = 0

Solving for variable 'i'.

Factor a trinomial.
(2i + -1x)(2i + -1x) = 0

Subproblem 1

Set the factor '(2i + -1x)' equal to zero and attempt to solve: Simplifying 2i + -1x = 0 Solving 2i + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add 'x' to each side of the equation. 2i + -1x + x = 0 + x Combine like terms: -1x + x = 0 2i + 0 = 0 + x 2i = 0 + x Remove the zero: 2i = x Divide each side by '2'. i = 0.5x Simplifying i = 0.5x

Subproblem 2

Set the factor '(2i + -1x)' equal to zero and attempt to solve: Simplifying 2i + -1x = 0 Solving 2i + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add 'x' to each side of the equation. 2i + -1x + x = 0 + x Combine like terms: -1x + x = 0 2i + 0 = 0 + x 2i = 0 + x Remove the zero: 2i = x Divide each side by '2'. i = 0.5x Simplifying i = 0.5x

Solution

i = {0.5x, 0.5x}

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