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Simplifying 6x + 68 = 2x2 + -40 Reorder the terms: 68 + 6x = 2x2 + -40 Reorder the terms: 68 + 6x = -40 + 2x2 Solving 68 + 6x = -40 + 2x2 Solving for variable 'x'. Reorder the terms: 68 + 40 + 6x + -2x2 = -40 + 2x2 + 40 + -2x2 Combine like terms: 68 + 40 = 108 108 + 6x + -2x2 = -40 + 2x2 + 40 + -2x2 Reorder the terms: 108 + 6x + -2x2 = -40 + 40 + 2x2 + -2x2 Combine like terms: -40 + 40 = 0 108 + 6x + -2x2 = 0 + 2x2 + -2x2 108 + 6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 108 + 6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(54 + 3x + -1x2) = 0 Factor a trinomial. 2((9 + -1x)(6 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {9, -6}
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