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Simplifying 756 = 2x2 + 6x Reorder the terms: 756 = 6x + 2x2 Solving 756 = 6x + 2x2 Solving for variable 'x'. Reorder the terms: 756 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 756 + -6x + -2x2 = 0 + 2x2 + -2x2 756 + -6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 756 + -6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(378 + -3x + -1x2) = 0 Factor a trinomial. 2((18 + -1x)(21 + x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 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 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Solution
x = {18, -21}
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