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Simplifying 4x2 + 31x + -15 = -7 Reorder the terms: -15 + 31x + 4x2 = -7 Solving -15 + 31x + 4x2 = -7 Solving for variable 'x'. Reorder the terms: -15 + 7 + 31x + 4x2 = -7 + 7 Combine like terms: -15 + 7 = -8 -8 + 31x + 4x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -8 + 31x + 4x2 = 0 Factor a trinomial. (-8 + -1x)(1 + -4x) = 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 '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-8, 0.25}
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