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Simplifying 4a2 = 10a Solving 4a2 = 10a Solving for variable 'a'. Reorder the terms: -10a + 4a2 = 10a + -10a Combine like terms: 10a + -10a = 0 -10a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-5 + 2a) = 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 '(-5 + 2a)' equal to zero and attempt to solve: Simplifying -5 + 2a = 0 Solving -5 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 0 + 5 2a = 0 + 5 Combine like terms: 0 + 5 = 5 2a = 5 Divide each side by '2'. a = 2.5 Simplifying a = 2.5Solution
a = {0, 2.5}
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