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Simplifying -15 = 14x2 + -31x Reorder the terms: -15 = -31x + 14x2 Solving -15 = -31x + 14x2 Solving for variable 'x'. Reorder the terms: -15 + 31x + -14x2 = -31x + 31x + 14x2 + -14x2 Combine like terms: -31x + 31x = 0 -15 + 31x + -14x2 = 0 + 14x2 + -14x2 -15 + 31x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -15 + 31x + -14x2 = 0 Factor a trinomial. (-3 + 2x)(5 + -7x) = 0Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {1.5, 0.7142857143}
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