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Simplifying 2x2 + -6x = 756 Reorder the terms: -6x + 2x2 = 756 Solving -6x + 2x2 = 756 Solving for variable 'x'. Reorder the terms: -756 + -6x + 2x2 = 756 + -756 Combine like terms: 756 + -756 = 0 -756 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-378 + -3x + x2) = 0 Factor a trinomial. 2((-18 + -1x)(21 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {-18, 21}
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