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Simplifying 32 = x2 + 2x + -3 Reorder the terms: 32 = -3 + 2x + x2 Solving 32 = -3 + 2x + x2 Solving for variable 'x'. Combine like terms: 32 + 3 = 35 35 + -2x + -1x2 = -3 + 2x + x2 + 3 + -2x + -1x2 Reorder the terms: 35 + -2x + -1x2 = -3 + 3 + 2x + -2x + x2 + -1x2 Combine like terms: -3 + 3 = 0 35 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2 35 + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 35 + -2x + -1x2 = 0 + x2 + -1x2 35 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 35 + -2x + -1x2 = 0 Factor a trinomial. (5 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {5, -7}
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