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Simplifying 2a2 = 36 + -1a Solving 2a2 = 36 + -1a Solving for variable 'a'. Reorder the terms: -36 + a + 2a2 = 36 + -1a + -36 + a Reorder the terms: -36 + a + 2a2 = 36 + -36 + -1a + a Combine like terms: 36 + -36 = 0 -36 + a + 2a2 = 0 + -1a + a -36 + a + 2a2 = -1a + a Combine like terms: -1a + a = 0 -36 + a + 2a2 = 0 Factor a trinomial. (-9 + -2a)(4 + -1a) = 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 '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {-4.5, 4}
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