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Simplifying x2 + -26x = 272 Reorder the terms: -26x + x2 = 272 Solving -26x + x2 = 272 Solving for variable 'x'. Reorder the terms: -272 + -26x + x2 = 272 + -272 Combine like terms: 272 + -272 = 0 -272 + -26x + x2 = 0 Factor a trinomial. (-8 + -1x)(34 + -1x) = 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 '(34 + -1x)' equal to zero and attempt to solve: Simplifying 34 + -1x = 0 Solving 34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 0 + -34 -1x = 0 + -34 Combine like terms: 0 + -34 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34Solution
x = {-8, 34}
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