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Simplifying 2x2 + -20x + -5 = 17 Reorder the terms: -5 + -20x + 2x2 = 17 Solving -5 + -20x + 2x2 = 17 Solving for variable 'x'. Reorder the terms: -5 + -17 + -20x + 2x2 = 17 + -17 Combine like terms: -5 + -17 = -22 -22 + -20x + 2x2 = 17 + -17 Combine like terms: 17 + -17 = 0 -22 + -20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + -10x + x2) = 0 Factor a trinomial. 2((-1 + -1x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-1, 11}
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