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Simplifying 5x2 + 8x + -13 = 35 + -26x Reorder the terms: -13 + 8x + 5x2 = 35 + -26x Solving -13 + 8x + 5x2 = 35 + -26x Solving for variable 'x'. Reorder the terms: -13 + -35 + 8x + 26x + 5x2 = 35 + -26x + -35 + 26x Combine like terms: -13 + -35 = -48 -48 + 8x + 26x + 5x2 = 35 + -26x + -35 + 26x Combine like terms: 8x + 26x = 34x -48 + 34x + 5x2 = 35 + -26x + -35 + 26x Reorder the terms: -48 + 34x + 5x2 = 35 + -35 + -26x + 26x Combine like terms: 35 + -35 = 0 -48 + 34x + 5x2 = 0 + -26x + 26x -48 + 34x + 5x2 = -26x + 26x Combine like terms: -26x + 26x = 0 -48 + 34x + 5x2 = 0 Factor a trinomial. (-8 + -1x)(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-8, 1.2}
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