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Simplifying 0 = 2x2 + -5x + -88 Reorder the terms: 0 = -88 + -5x + 2x2 Solving 0 = -88 + -5x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 88 = 88 88 + 5x + -2x2 = -88 + -5x + 2x2 + 88 + 5x + -2x2 Reorder the terms: 88 + 5x + -2x2 = -88 + 88 + -5x + 5x + 2x2 + -2x2 Combine like terms: -88 + 88 = 0 88 + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2 88 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 88 + 5x + -2x2 = 0 + 2x2 + -2x2 88 + 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 88 + 5x + -2x2 = 0 Factor a trinomial. (8 + -1x)(11 + 2x) = 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 '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 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 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Solution
x = {8, -5.5}
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