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Simplifying 26x2 + -52x = 2574 Reorder the terms: -52x + 26x2 = 2574 Solving -52x + 26x2 = 2574 Solving for variable 'x'. Reorder the terms: -2574 + -52x + 26x2 = 2574 + -2574 Combine like terms: 2574 + -2574 = 0 -2574 + -52x + 26x2 = 0 Factor out the Greatest Common Factor (GCF), '26'. 26(-99 + -2x + x2) = 0 Factor a trinomial. 26((-9 + -1x)(11 + -1x)) = 0 Ignore the factor 26.Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 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 = {-9, 11}
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