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Simplifying 2x2 + 17x + 8 = 108 Reorder the terms: 8 + 17x + 2x2 = 108 Solving 8 + 17x + 2x2 = 108 Solving for variable 'x'. Reorder the terms: 8 + -108 + 17x + 2x2 = 108 + -108 Combine like terms: 8 + -108 = -100 -100 + 17x + 2x2 = 108 + -108 Combine like terms: 108 + -108 = 0 -100 + 17x + 2x2 = 0 Factor a trinomial. (-25 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve: Simplifying -25 + -2x = 0 Solving -25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 0 + 25 -2x = 0 + 25 Combine like terms: 0 + 25 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-12.5, 4}
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