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Simplifying 10a2 + -27a + -81 = 0 Reorder the terms: -81 + -27a + 10a2 = 0 Solving -81 + -27a + 10a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -5a)(9 + -2a) = 0Subproblem 1
Set the factor '(-9 + -5a)' equal to zero and attempt to solve: Simplifying -9 + -5a = 0 Solving -9 + -5a = 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 + -5a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5a = 0 + 9 -5a = 0 + 9 Combine like terms: 0 + 9 = 9 -5a = 9 Divide each side by '-5'. a = -1.8 Simplifying a = -1.8Subproblem 2
Set the factor '(9 + -2a)' equal to zero and attempt to solve: Simplifying 9 + -2a = 0 Solving 9 + -2a = 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 + -2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = 0 + -9 -2a = 0 + -9 Combine like terms: 0 + -9 = -9 -2a = -9 Divide each side by '-2'. a = 4.5 Simplifying a = 4.5Solution
a = {-1.8, 4.5}
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