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Simplifying -10a2 + 2a + -4 = -12a2 Reorder the terms: -4 + 2a + -10a2 = -12a2 Solving -4 + 2a + -10a2 = -12a2 Solving for variable 'a'. Combine like terms: -10a2 + 12a2 = 2a2 -4 + 2a + 2a2 = -12a2 + 12a2 Combine like terms: -12a2 + 12a2 = 0 -4 + 2a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + a + a2) = 0 Factor a trinomial. 2((-2 + -1a)(1 + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-2, 1}
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