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Simplifying -1a2 = 9 + -6a Solving -1a2 = 9 + -6a Solving for variable 'a'. Reorder the terms: -9 + 6a + -1a2 = 9 + -6a + -9 + 6a Reorder the terms: -9 + 6a + -1a2 = 9 + -9 + -6a + 6a Combine like terms: 9 + -9 = 0 -9 + 6a + -1a2 = 0 + -6a + 6a -9 + 6a + -1a2 = -6a + 6a Combine like terms: -6a + 6a = 0 -9 + 6a + -1a2 = 0 Factor a trinomial. (-3 + a)(3 + -1a) = 0Subproblem 1
Set the factor '(-3 + a)' equal to zero and attempt to solve: Simplifying -3 + a = 0 Solving -3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a = 0 + 3 a = 0 + 3 Combine like terms: 0 + 3 = 3 a = 3 Simplifying a = 3Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {3, 3}
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