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Simplifying 20a2 + 30ac = 0 Reorder the terms: 30ac + 20a2 = 0 Solving 30ac + 20a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a'. 10a(3c + 2a) = 0 Ignore the factor 10.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 '(3c + 2a)' equal to zero and attempt to solve: Simplifying 3c + 2a = 0 Reorder the terms: 2a + 3c = 0 Solving 2a + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3c' to each side of the equation. 2a + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 2a + 0 = 0 + -3c 2a = 0 + -3c Remove the zero: 2a = -3c Divide each side by '2'. a = -1.5c Simplifying a = -1.5cSolution
a = {0, -1.5c}
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