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Simplifying -14X2 + 31X + -15 = 0 Reorder the terms: -15 + 31X + -14X2 = 0 Solving -15 + 31X + -14X2 = 0 Solving for variable 'X'. 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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