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Simplifying 3a(5a + -3) = 0 Reorder the terms: 3a(-3 + 5a) = 0 (-3 * 3a + 5a * 3a) = 0 (-9a + 15a2) = 0 Solving -9a + 15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-3 + 5a) = 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 '(-3 + 5a)' equal to zero and attempt to solve: Simplifying -3 + 5a = 0 Solving -3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5a = 0 + 3 5a = 0 + 3 Combine like terms: 0 + 3 = 3 5a = 3 Divide each side by '5'. a = 0.6 Simplifying a = 0.6Solution
a = {0, 0.6}
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