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Simplifying 35a2 + -39a + -14 = 0 Reorder the terms: -14 + -39a + 35a2 = 0 Solving -14 + -39a + 35a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -7a)(7 + -5a) = 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 '(7 + -5a)' equal to zero and attempt to solve: Simplifying 7 + -5a = 0 Solving 7 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = 0 + -7 -5a = 0 + -7 Combine like terms: 0 + -7 = -7 -5a = -7 Divide each side by '-5'. a = 1.4 Simplifying a = 1.4Solution
a = {-0.2857142857, 1.4}
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