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Simplifying 20a2 + 17a + -63 = 0 Reorder the terms: -63 + 17a + 20a2 = 0 Solving -63 + 17a + 20a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -4a)(7 + -5a) = 0Subproblem 1
Set the factor '(-9 + -4a)' equal to zero and attempt to solve: Simplifying -9 + -4a = 0 Solving -9 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4a = 0 + 9 -4a = 0 + 9 Combine like terms: 0 + 9 = 9 -4a = 9 Divide each side by '-4'. a = -2.25 Simplifying a = -2.25Subproblem 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 = {-2.25, 1.4}
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