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Simplifying 56a2 + -17a = 3 Reorder the terms: -17a + 56a2 = 3 Solving -17a + 56a2 = 3 Solving for variable 'a'. Reorder the terms: -3 + -17a + 56a2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -17a + 56a2 = 0 Factor a trinomial. (-1 + -8a)(3 + -7a) = 0Subproblem 1
Set the factor '(-1 + -8a)' equal to zero and attempt to solve: Simplifying -1 + -8a = 0 Solving -1 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = 0 + 1 -8a = 0 + 1 Combine like terms: 0 + 1 = 1 -8a = 1 Divide each side by '-8'. a = -0.125 Simplifying a = -0.125Subproblem 2
Set the factor '(3 + -7a)' equal to zero and attempt to solve: Simplifying 3 + -7a = 0 Solving 3 + -7a = 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 + -7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 0 + -3 -7a = 0 + -3 Combine like terms: 0 + -3 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286Solution
a = {-0.125, 0.4285714286}
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