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Simplifying -2a(a + 3) + -4a = 0 Reorder the terms: -2a(3 + a) + -4a = 0 (3 * -2a + a * -2a) + -4a = 0 (-6a + -2a2) + -4a = 0 Reorder the terms: -6a + -4a + -2a2 = 0 Combine like terms: -6a + -4a = -10a -10a + -2a2 = 0 Solving -10a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-2a'. -2a(5 + 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 '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {0, -5}
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