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Simplifying 92 + -2x = 12 + x2 Solving 92 + -2x = 12 + x2 Solving for variable 'x'. Reorder the terms: 92 + -12 + -2x + -1x2 = 12 + x2 + -12 + -1x2 Combine like terms: 92 + -12 = 80 80 + -2x + -1x2 = 12 + x2 + -12 + -1x2 Reorder the terms: 80 + -2x + -1x2 = 12 + -12 + x2 + -1x2 Combine like terms: 12 + -12 = 0 80 + -2x + -1x2 = 0 + x2 + -1x2 80 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 80 + -2x + -1x2 = 0 Factor a trinomial. (8 + -1x)(10 + x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {8, -10}
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