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Simplifying 5a2 + -12a = 0 Reorder the terms: -12a + 5a2 = 0 Solving -12a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-12 + 5a) = 0Subproblem 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 '(-12 + 5a)' equal to zero and attempt to solve: Simplifying -12 + 5a = 0 Solving -12 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 0 + 12 5a = 0 + 12 Combine like terms: 0 + 12 = 12 5a = 12 Divide each side by '5'. a = 2.4 Simplifying a = 2.4Solution
a = {0, 2.4}
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