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Simplifying 85 = x(x + -12) Reorder the terms: 85 = x(-12 + x) 85 = (-12 * x + x * x) 85 = (-12x + x2) Solving 85 = -12x + x2 Solving for variable 'x'. Reorder the terms: 85 + 12x + -1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 85 + 12x + -1x2 = 0 + x2 + -1x2 85 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 85 + 12x + -1x2 = 0 Factor a trinomial. (17 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {17, -5}
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