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Simplifying 14a2 + -31a + -10 = 0 Reorder the terms: -10 + -31a + 14a2 = 0 Solving -10 + -31a + 14a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -7a)(5 + -2a) = 0Subproblem 1
Set the factor '(-2 + -7a)' equal to zero and attempt to solve: Simplifying -2 + -7a = 0 Solving -2 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 0 + 2 -7a = 0 + 2 Combine like terms: 0 + 2 = 2 -7a = 2 Divide each side by '-7'. a = -0.2857142857 Simplifying a = -0.2857142857Subproblem 2
Set the factor '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5Solution
a = {-0.2857142857, 2.5}
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