(x-2)(x-2)=-18

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Solution for (x-2)(x-2)=-18 equation:


Simplifying
(x + -2)(x + -2) = -18

Reorder the terms:
(-2 + x)(x + -2) = -18

Reorder the terms:
(-2 + x)(-2 + x) = -18

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x)) = -18
((-2 * -2 + x * -2) + x(-2 + x)) = -18
((4 + -2x) + x(-2 + x)) = -18
(4 + -2x + (-2 * x + x * x)) = -18
(4 + -2x + (-2x + x2)) = -18

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2) = -18

Solving
4 + -4x + x2 = -18

Solving for variable 'x'.

Reorder the terms:
4 + 18 + -4x + x2 = -18 + 18

Combine like terms: 4 + 18 = 22
22 + -4x + x2 = -18 + 18

Combine like terms: -18 + 18 = 0
22 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -4x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -4x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -4x + x2 = 0 + -22
-4x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-4x + x2 = -22

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -22 + 4

Reorder the terms:
4 + -4x + x2 = -22 + 4

Combine like terms: -22 + 4 = -18
4 + -4x + x2 = -18

Factor a perfect square on the left side:
(x + -2)(x + -2) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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