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Simplifying 1008 = 2x2 + 12x + -32 Reorder the terms: 1008 = -32 + 12x + 2x2 Solving 1008 = -32 + 12x + 2x2 Solving for variable 'x'. Combine like terms: 1008 + 32 = 1040 1040 + -12x + -2x2 = -32 + 12x + 2x2 + 32 + -12x + -2x2 Reorder the terms: 1040 + -12x + -2x2 = -32 + 32 + 12x + -12x + 2x2 + -2x2 Combine like terms: -32 + 32 = 0 1040 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2 1040 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2 Combine like terms: 12x + -12x = 0 1040 + -12x + -2x2 = 0 + 2x2 + -2x2 1040 + -12x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1040 + -12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(520 + -6x + -1x2) = 0 Factor a trinomial. 2((20 + -1x)(26 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve: Simplifying 26 + x = 0 Solving 26 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + x = 0 + -26 x = 0 + -26 Combine like terms: 0 + -26 = -26 x = -26 Simplifying x = -26Solution
x = {20, -26}
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