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Simplifying -2a(a + 27) = 0 Reorder the terms: -2a(27 + a) = 0 (27 * -2a + a * -2a) = 0 (-54a + -2a2) = 0 Solving -54a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-2a'. -2a(27 + 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 '(27 + a)' equal to zero and attempt to solve: Simplifying 27 + a = 0 Solving 27 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + a = 0 + -27 a = 0 + -27 Combine like terms: 0 + -27 = -27 a = -27 Simplifying a = -27Solution
a = {0, -27}
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