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Simplifying 56a2 + 19a + -10 = 0 Reorder the terms: -10 + 19a + 56a2 = 0 Solving -10 + 19a + 56a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -8a)(2 + -7a) = 0Subproblem 1
Set the factor '(-5 + -8a)' equal to zero and attempt to solve: Simplifying -5 + -8a = 0 Solving -5 + -8a = 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 + -8a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8a = 0 + 5 -8a = 0 + 5 Combine like terms: 0 + 5 = 5 -8a = 5 Divide each side by '-8'. a = -0.625 Simplifying a = -0.625Subproblem 2
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 = 0.2857142857Solution
a = {-0.625, 0.2857142857}
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