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Simplifying -12a2 + -20a + -7 = 0 Reorder the terms: -7 + -20a + -12a2 = 0 Solving -7 + -20a + -12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 20a + 12a2) = 0 Factor a trinomial. -1((7 + 6a)(1 + 2a)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 6a)' equal to zero and attempt to solve: Simplifying 7 + 6a = 0 Solving 7 + 6a = 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 + 6a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 0 + -7 6a = 0 + -7 Combine like terms: 0 + -7 = -7 6a = -7 Divide each side by '6'. a = -1.166666667 Simplifying a = -1.166666667Subproblem 2
Set the factor '(1 + 2a)' equal to zero and attempt to solve: Simplifying 1 + 2a = 0 Solving 1 + 2a = 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 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5Solution
a = {-1.166666667, -0.5}
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