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Simplifying 108a + 6a2 = 15a2 Solving 108a + 6a2 = 15a2 Solving for variable 'a'. Combine like terms: 6a2 + -15a2 = -9a2 108a + -9a2 = 15a2 + -15a2 Combine like terms: 15a2 + -15a2 = 0 108a + -9a2 = 0 Factor out the Greatest Common Factor (GCF), '9a'. 9a(12 + -1a) = 0 Ignore the factor 9.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 '(12 + -1a)' equal to zero and attempt to solve: Simplifying 12 + -1a = 0 Solving 12 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 0 + -12 -1a = 0 + -12 Combine like terms: 0 + -12 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12Solution
a = {0, 12}
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