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Simplifying 20a2 + -8a = 0 Reorder the terms: -8a + 20a2 = 0 Solving -8a + 20a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-2 + 5a) = 0 Ignore the factor 4.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 '(-2 + 5a)' equal to zero and attempt to solve: Simplifying -2 + 5a = 0 Solving -2 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 0 + 2 5a = 0 + 2 Combine like terms: 0 + 2 = 2 5a = 2 Divide each side by '5'. a = 0.4 Simplifying a = 0.4Solution
a = {0, 0.4}
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