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

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


Simplifying
-1(6x + -6)(6x + -6) = 0

Reorder the terms:
-1(-6 + 6x)(6x + -6) = 0

Reorder the terms:
-1(-6 + 6x)(-6 + 6x) = 0

Multiply (-6 + 6x) * (-6 + 6x)
-1(-6(-6 + 6x) + 6x * (-6 + 6x)) = 0
-1((-6 * -6 + 6x * -6) + 6x * (-6 + 6x)) = 0
-1((36 + -36x) + 6x * (-6 + 6x)) = 0
-1(36 + -36x + (-6 * 6x + 6x * 6x)) = 0
-1(36 + -36x + (-36x + 36x2)) = 0

Combine like terms: -36x + -36x = -72x
-1(36 + -72x + 36x2) = 0
(36 * -1 + -72x * -1 + 36x2 * -1) = 0
(-36 + 72x + -36x2) = 0

Solving
-36 + 72x + -36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36'.
36(-1 + 2x + -1x2) = 0

Factor a trinomial.
36((-1 + x)(1 + -1x)) = 0

Ignore the factor 36.

Subproblem 1

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

Subproblem 2

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

Solution

x = {1, 1}

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