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Simplifying 3a(4a + -5c) = 0 (4a * 3a + -5c * 3a) = 0 Reorder the terms: (-15ac + 12a2) = 0 (-15ac + 12a2) = 0 Solving -15ac + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-5c + 4a) = 0 Ignore the factor 3.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 + 4a)' equal to zero and attempt to solve: Simplifying -5c + 4a = 0 Reorder the terms: 4a + -5c = 0 Solving 4a + -5c = 0 Move all terms containing a to the left, all other terms to the right. Add '5c' to each side of the equation. 4a + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 4a + 0 = 0 + 5c 4a = 0 + 5c Remove the zero: 4a = 5c Divide each side by '4'. a = 1.25c Simplifying a = 1.25cSolution
a = {0, 1.25c}
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