(x-6)(x-6)=-6

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Solution for (x-6)(x-6)=-6 equation:


Simplifying
(x + -6)(x + -6) = -6

Reorder the terms:
(-6 + x)(x + -6) = -6

Reorder the terms:
(-6 + x)(-6 + x) = -6

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = -6
((-6 * -6 + x * -6) + x(-6 + x)) = -6
((36 + -6x) + x(-6 + x)) = -6
(36 + -6x + (-6 * x + x * x)) = -6
(36 + -6x + (-6x + x2)) = -6

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = -6

Solving
36 + -12x + x2 = -6

Solving for variable 'x'.

Reorder the terms:
36 + 6 + -12x + x2 = -6 + 6

Combine like terms: 36 + 6 = 42
42 + -12x + x2 = -6 + 6

Combine like terms: -6 + 6 = 0
42 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -12x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + -12x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -12x + x2 = 0 + -42
-12x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
-12x + x2 = -42

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -42 + 36

Reorder the terms:
36 + -12x + x2 = -42 + 36

Combine like terms: -42 + 36 = -6
36 + -12x + x2 = -6

Factor a perfect square on the left side:
(x + -6)(x + -6) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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