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Simplifying -17x2 + 2822x + -21488 = 0 Reorder the terms: -21488 + 2822x + -17x2 = 0 Solving -21488 + 2822x + -17x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '17'. 17(-1264 + 166x + -1x2) = 0 Factor a trinomial. 17((-158 + x)(8 + -1x)) = 0 Ignore the factor 17.Subproblem 1
Set the factor '(-158 + x)' equal to zero and attempt to solve: Simplifying -158 + x = 0 Solving -158 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '158' to each side of the equation. -158 + 158 + x = 0 + 158 Combine like terms: -158 + 158 = 0 0 + x = 0 + 158 x = 0 + 158 Combine like terms: 0 + 158 = 158 x = 158 Simplifying x = 158Subproblem 2
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 = 8Solution
x = {158, 8}
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