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Simplifying -4a2 + 14a = -6a2 Reorder the terms: 14a + -4a2 = -6a2 Solving 14a + -4a2 = -6a2 Solving for variable 'a'. Combine like terms: -4a2 + 6a2 = 2a2 14a + 2a2 = -6a2 + 6a2 Combine like terms: -6a2 + 6a2 = 0 14a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(7 + 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 '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Solution
a = {0, -7}
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