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Simplifying -10a2 + -5a + -5 = -10 Reorder the terms: -5 + -5a + -10a2 = -10 Solving -5 + -5a + -10a2 = -10 Solving for variable 'a'. Reorder the terms: -5 + 10 + -5a + -10a2 = -10 + 10 Combine like terms: -5 + 10 = 5 5 + -5a + -10a2 = -10 + 10 Combine like terms: -10 + 10 = 0 5 + -5a + -10a2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + -1a + -2a2) = 0 Factor a trinomial. 5((1 + -2a)(1 + a)) = 0 Ignore the factor 5.Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 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 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {0.5, -1}
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