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Simplifying 5x2 + 3x + -11 = 31 + -26x Reorder the terms: -11 + 3x + 5x2 = 31 + -26x Solving -11 + 3x + 5x2 = 31 + -26x Solving for variable 'x'. Reorder the terms: -11 + -31 + 3x + 26x + 5x2 = 31 + -26x + -31 + 26x Combine like terms: -11 + -31 = -42 -42 + 3x + 26x + 5x2 = 31 + -26x + -31 + 26x Combine like terms: 3x + 26x = 29x -42 + 29x + 5x2 = 31 + -26x + -31 + 26x Reorder the terms: -42 + 29x + 5x2 = 31 + -31 + -26x + 26x Combine like terms: 31 + -31 = 0 -42 + 29x + 5x2 = 0 + -26x + 26x -42 + 29x + 5x2 = -26x + 26x Combine like terms: -26x + 26x = 0 -42 + 29x + 5x2 = 0 Factor a trinomial. (-7 + -1x)(6 + -5x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 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 = {-7, 1.2}
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