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Simplifying 2a2 + -6a2 + -56a = 0 Reorder the terms: -56a + 2a2 + -6a2 = 0 Combine like terms: 2a2 + -6a2 = -4a2 -56a + -4a2 = 0 Solving -56a + -4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-4a'. -4a(14 + a) = 0 Ignore the factor -4.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 '(14 + a)' equal to zero and attempt to solve: Simplifying 14 + a = 0 Solving 14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + a = 0 + -14 a = 0 + -14 Combine like terms: 0 + -14 = -14 a = -14 Simplifying a = -14Solution
a = {0, -14}
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