12x^2-12x=504

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Solution for 12x^2-12x=504 equation:


Simplifying
12x2 + -12x = 504

Reorder the terms:
-12x + 12x2 = 504

Solving
-12x + 12x2 = 504

Solving for variable 'x'.

Reorder the terms:
-504 + -12x + 12x2 = 504 + -504

Combine like terms: 504 + -504 = 0
-504 + -12x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-42 + -1x + x2) = 0

Factor a trinomial.
12((-6 + -1x)(7 + -1x)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-6, 7}

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