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Simplifying 0 = 20a2 + -4a Reorder the terms: 0 = -4a + 20a2 Solving 0 = -4a + 20a2 Solving for variable 'a'. Remove the zero: 4a + -20a2 = -4a + 20a2 + 4a + -20a2 Reorder the terms: 4a + -20a2 = -4a + 4a + 20a2 + -20a2 Combine like terms: -4a + 4a = 0 4a + -20a2 = 0 + 20a2 + -20a2 4a + -20a2 = 20a2 + -20a2 Combine like terms: 20a2 + -20a2 = 0 4a + -20a2 = 0 Factor out the Greatest Common Factor (GCF), '4a'. 4a(1 + -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 '(1 + -5a)' equal to zero and attempt to solve: Simplifying 1 + -5a = 0 Solving 1 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 0 + -1 -5a = 0 + -1 Combine like terms: 0 + -1 = -1 -5a = -1 Divide each side by '-5'. a = 0.2 Simplifying a = 0.2Solution
a = {0, 0.2}
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