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Simplifying 17x2 + 132x + -12 = 20 Reorder the terms: -12 + 132x + 17x2 = 20 Solving -12 + 132x + 17x2 = 20 Solving for variable 'x'. Reorder the terms: -12 + -20 + 132x + 17x2 = 20 + -20 Combine like terms: -12 + -20 = -32 -32 + 132x + 17x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -32 + 132x + 17x2 = 0 Factor a trinomial. (-8 + -1x)(4 + -17x) = 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 '(4 + -17x)' equal to zero and attempt to solve: Simplifying 4 + -17x = 0 Solving 4 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -17x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -17x = 0 + -4 -17x = 0 + -4 Combine like terms: 0 + -4 = -4 -17x = -4 Divide each side by '-17'. x = 0.2352941176 Simplifying x = 0.2352941176Solution
x = {-8, 0.2352941176}
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