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Simplifying -4a2 + 15a = 0 Reorder the terms: 15a + -4a2 = 0 Solving 15a + -4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(15 + -4a) = 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 '(15 + -4a)' equal to zero and attempt to solve: Simplifying 15 + -4a = 0 Solving 15 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = 0 + -15 -4a = 0 + -15 Combine like terms: 0 + -15 = -15 -4a = -15 Divide each side by '-4'. a = 3.75 Simplifying a = 3.75Solution
a = {0, 3.75}
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