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Simplifying 0 = 5x2 + -31x + -36 Reorder the terms: 0 = -36 + -31x + 5x2 Solving 0 = -36 + -31x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + 31x + -5x2 = -36 + -31x + 5x2 + 36 + 31x + -5x2 Reorder the terms: 36 + 31x + -5x2 = -36 + 36 + -31x + 31x + 5x2 + -5x2 Combine like terms: -36 + 36 = 0 36 + 31x + -5x2 = 0 + -31x + 31x + 5x2 + -5x2 36 + 31x + -5x2 = -31x + 31x + 5x2 + -5x2 Combine like terms: -31x + 31x = 0 36 + 31x + -5x2 = 0 + 5x2 + -5x2 36 + 31x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 36 + 31x + -5x2 = 0 Factor a trinomial. (36 + -5x)(1 + x) = 0Subproblem 1
Set the factor '(36 + -5x)' equal to zero and attempt to solve: Simplifying 36 + -5x = 0 Solving 36 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -5x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 0 + -36 -5x = 0 + -36 Combine like terms: 0 + -36 = -36 -5x = -36 Divide each side by '-5'. x = 7.2 Simplifying x = 7.2Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {7.2, -1}
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