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Simplifying 64a2 + -144a + 81 = 0 Reorder the terms: 81 + -144a + 64a2 = 0 Solving 81 + -144a + 64a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + -8a)(9 + -8a) = 0Subproblem 1
Set the factor '(9 + -8a)' equal to zero and attempt to solve: Simplifying 9 + -8a = 0 Solving 9 + -8a = 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 + -8a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8a = 0 + -9 -8a = 0 + -9 Combine like terms: 0 + -9 = -9 -8a = -9 Divide each side by '-8'. a = 1.125 Simplifying a = 1.125Subproblem 2
Set the factor '(9 + -8a)' equal to zero and attempt to solve: Simplifying 9 + -8a = 0 Solving 9 + -8a = 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 + -8a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8a = 0 + -9 -8a = 0 + -9 Combine like terms: 0 + -9 = -9 -8a = -9 Divide each side by '-8'. a = 1.125 Simplifying a = 1.125Solution
a = {1.125, 1.125}
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