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Simplifying -3a2 + 4(3a + -3a2) = 0 -3a2 + (3a * 4 + -3a2 * 4) = 0 -3a2 + (12a + -12a2) = 0 Reorder the terms: 12a + -3a2 + -12a2 = 0 Combine like terms: -3a2 + -12a2 = -15a2 12a + -15a2 = 0 Solving 12a + -15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(4 + -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 '(4 + -5a)' equal to zero and attempt to solve: Simplifying 4 + -5a = 0 Solving 4 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 0 + -4 -5a = 0 + -4 Combine like terms: 0 + -4 = -4 -5a = -4 Divide each side by '-5'. a = 0.8 Simplifying a = 0.8Solution
a = {0, 0.8}
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