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Simplifying -8a2 + 2a = -9a2 + 35 Reorder the terms: 2a + -8a2 = -9a2 + 35 Reorder the terms: 2a + -8a2 = 35 + -9a2 Solving 2a + -8a2 = 35 + -9a2 Solving for variable 'a'. Reorder the terms: -35 + 2a + -8a2 + 9a2 = 35 + -9a2 + -35 + 9a2 Combine like terms: -8a2 + 9a2 = 1a2 -35 + 2a + 1a2 = 35 + -9a2 + -35 + 9a2 Reorder the terms: -35 + 2a + 1a2 = 35 + -35 + -9a2 + 9a2 Combine like terms: 35 + -35 = 0 -35 + 2a + 1a2 = 0 + -9a2 + 9a2 -35 + 2a + 1a2 = -9a2 + 9a2 Combine like terms: -9a2 + 9a2 = 0 -35 + 2a + 1a2 = 0 Factor a trinomial. (-7 + -1a)(5 + -1a) = 0Subproblem 1
Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {-7, 5}
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