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Simplifying (2a + -9)(2a + -9) = 0 Reorder the terms: (-9 + 2a)(2a + -9) = 0 Reorder the terms: (-9 + 2a)(-9 + 2a) = 0 Multiply (-9 + 2a) * (-9 + 2a) (-9(-9 + 2a) + 2a * (-9 + 2a)) = 0 ((-9 * -9 + 2a * -9) + 2a * (-9 + 2a)) = 0 ((81 + -18a) + 2a * (-9 + 2a)) = 0 (81 + -18a + (-9 * 2a + 2a * 2a)) = 0 (81 + -18a + (-18a + 4a2)) = 0 Combine like terms: -18a + -18a = -36a (81 + -36a + 4a2) = 0 Solving 81 + -36a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + -2a)(9 + -2a) = 0Subproblem 1
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 = 4.5Subproblem 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 = {4.5, 4.5}
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