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Simplifying 50a2 + -32a = 0 Reorder the terms: -32a + 50a2 = 0 Solving -32a + 50a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-16 + 25a) = 0 Ignore the factor 2.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 '(-16 + 25a)' equal to zero and attempt to solve: Simplifying -16 + 25a = 0 Solving -16 + 25a = 0 Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 25a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 25a = 0 + 16 25a = 0 + 16 Combine like terms: 0 + 16 = 16 25a = 16 Divide each side by '25'. a = 0.64 Simplifying a = 0.64Solution
a = {0, 0.64}
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