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Simplifying 2a2 + -1a + -83 = 8 Reorder the terms: -83 + -1a + 2a2 = 8 Solving -83 + -1a + 2a2 = 8 Solving for variable 'a'. Reorder the terms: -83 + -8 + -1a + 2a2 = 8 + -8 Combine like terms: -83 + -8 = -91 -91 + -1a + 2a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -91 + -1a + 2a2 = 0 Factor a trinomial. (-13 + -2a)(7 + -1a) = 0Subproblem 1
Set the factor '(-13 + -2a)' equal to zero and attempt to solve: Simplifying -13 + -2a = 0 Solving -13 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2a = 0 + 13 -2a = 0 + 13 Combine like terms: 0 + 13 = 13 -2a = 13 Divide each side by '-2'. a = -6.5 Simplifying a = -6.5Subproblem 2
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 = 7Solution
a = {-6.5, 7}
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