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Simplifying 0 = 5x2 + -2x + -115 Reorder the terms: 0 = -115 + -2x + 5x2 Solving 0 = -115 + -2x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 115 = 115 115 + 2x + -5x2 = -115 + -2x + 5x2 + 115 + 2x + -5x2 Reorder the terms: 115 + 2x + -5x2 = -115 + 115 + -2x + 2x + 5x2 + -5x2 Combine like terms: -115 + 115 = 0 115 + 2x + -5x2 = 0 + -2x + 2x + 5x2 + -5x2 115 + 2x + -5x2 = -2x + 2x + 5x2 + -5x2 Combine like terms: -2x + 2x = 0 115 + 2x + -5x2 = 0 + 5x2 + -5x2 115 + 2x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 115 + 2x + -5x2 = 0 Factor a trinomial. (5 + -1x)(23 + 5x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(23 + 5x)' equal to zero and attempt to solve: Simplifying 23 + 5x = 0 Solving 23 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 0 + -23 5x = 0 + -23 Combine like terms: 0 + -23 = -23 5x = -23 Divide each side by '5'. x = -4.6 Simplifying x = -4.6Solution
x = {5, -4.6}
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