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Simplifying 0 = 14x2 + -31x + -10 Reorder the terms: 0 = -10 + -31x + 14x2 Solving 0 = -10 + -31x + 14x2 Solving for variable 'x'. Combine like terms: 0 + 10 = 10 10 + 31x + -14x2 = -10 + -31x + 14x2 + 10 + 31x + -14x2 Reorder the terms: 10 + 31x + -14x2 = -10 + 10 + -31x + 31x + 14x2 + -14x2 Combine like terms: -10 + 10 = 0 10 + 31x + -14x2 = 0 + -31x + 31x + 14x2 + -14x2 10 + 31x + -14x2 = -31x + 31x + 14x2 + -14x2 Combine like terms: -31x + 31x = 0 10 + 31x + -14x2 = 0 + 14x2 + -14x2 10 + 31x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 10 + 31x + -14x2 = 0 Factor a trinomial. (5 + -2x)(2 + 7x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {2.5, -0.2857142857}
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