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Simplifying -1a2 = 81 + -18a Solving -1a2 = 81 + -18a Solving for variable 'a'. Reorder the terms: -81 + 18a + -1a2 = 81 + -18a + -81 + 18a Reorder the terms: -81 + 18a + -1a2 = 81 + -81 + -18a + 18a Combine like terms: 81 + -81 = 0 -81 + 18a + -1a2 = 0 + -18a + 18a -81 + 18a + -1a2 = -18a + 18a Combine like terms: -18a + 18a = 0 -81 + 18a + -1a2 = 0 Factor a trinomial. (-9 + a)(9 + -1a) = 0Subproblem 1
Set the factor '(-9 + a)' equal to zero and attempt to solve: Simplifying -9 + a = 0 Solving -9 + a = 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 + a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + a = 0 + 9 a = 0 + 9 Combine like terms: 0 + 9 = 9 a = 9 Simplifying a = 9Subproblem 2
Set the factor '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 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 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9Solution
a = {9, 9}
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