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Simplifying 56a2 + -19a + -15 = 0 Reorder the terms: -15 + -19a + 56a2 = 0 Solving -15 + -19a + 56a2 = 0 Solving for variable 'a'. Factor a trinomial. (-3 + -8a)(5 + -7a) = 0Subproblem 1
Set the factor '(-3 + -8a)' equal to zero and attempt to solve: Simplifying -3 + -8a = 0 Solving -3 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8a = 0 + 3 -8a = 0 + 3 Combine like terms: 0 + 3 = 3 -8a = 3 Divide each side by '-8'. a = -0.375 Simplifying a = -0.375Subproblem 2
Set the factor '(5 + -7a)' equal to zero and attempt to solve: Simplifying 5 + -7a = 0 Solving 5 + -7a = 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 + -7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 0 + -5 -7a = 0 + -5 Combine like terms: 0 + -5 = -5 -7a = -5 Divide each side by '-7'. a = 0.7142857143 Simplifying a = 0.7142857143Solution
a = {-0.375, 0.7142857143}
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