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Simplifying -6a(2a + 5c) = 0 (2a * -6a + 5c * -6a) = 0 Reorder the terms: (-30ac + -12a2) = 0 (-30ac + -12a2) = 0 Solving -30ac + -12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-6a'. -6a(5c + 2a) = 0 Ignore the factor -6.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 '(5c + 2a)' equal to zero and attempt to solve: Simplifying 5c + 2a = 0 Reorder the terms: 2a + 5c = 0 Solving 2a + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. 2a + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 2a + 0 = 0 + -5c 2a = 0 + -5c Remove the zero: 2a = -5c Divide each side by '2'. a = -2.5c Simplifying a = -2.5cSolution
a = {0, -2.5c}
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