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Simplifying a2 + -3a2 = 40a Combine like terms: a2 + -3a2 = -2a2 -2a2 = 40a Solving -2a2 = 40a Solving for variable 'a'. Reorder the terms: -40a + -2a2 = 40a + -40a Combine like terms: 40a + -40a = 0 -40a + -2a2 = 0 Factor out the Greatest Common Factor (GCF), '-2a'. -2a(20 + a) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(20 + a)' equal to zero and attempt to solve: Simplifying 20 + a = 0 Solving 20 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + a = 0 + -20 a = 0 + -20 Combine like terms: 0 + -20 = -20 a = -20 Simplifying a = -20Solution
a = {0, -20}
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