(x-6)(x-6)=-20

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Solution for (x-6)(x-6)=-20 equation:


Simplifying
(x + -6)(x + -6) = -20

Reorder the terms:
(-6 + x)(x + -6) = -20

Reorder the terms:
(-6 + x)(-6 + x) = -20

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = -20
((-6 * -6 + x * -6) + x(-6 + x)) = -20
((36 + -6x) + x(-6 + x)) = -20
(36 + -6x + (-6 * x + x * x)) = -20
(36 + -6x + (-6x + x2)) = -20

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = -20

Solving
36 + -12x + x2 = -20

Solving for variable 'x'.

Reorder the terms:
36 + 20 + -12x + x2 = -20 + 20

Combine like terms: 36 + 20 = 56
56 + -12x + x2 = -20 + 20

Combine like terms: -20 + 20 = 0
56 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -12x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + -12x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -12x + x2 = 0 + -56
-12x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
-12x + x2 = -56

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 = -56 + 36

Reorder the terms:
36 + -12x + x2 = -56 + 36

Combine like terms: -56 + 36 = -20
36 + -12x + x2 = -20

Factor a perfect square on the left side:
(x + -6)(x + -6) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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