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Simplifying 10a2 + -8a = 0 Reorder the terms: -8a + 10a2 = 0 Solving -8a + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-4 + 5a) = 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 '(-4 + 5a)' equal to zero and attempt to solve: Simplifying -4 + 5a = 0 Solving -4 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = 0 + 4 5a = 0 + 4 Combine like terms: 0 + 4 = 4 5a = 4 Divide each side by '5'. a = 0.8 Simplifying a = 0.8Solution
a = {0, 0.8}
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