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Simplifying 2a2 = 5a Solving 2a2 = 5a Solving for variable 'a'. Reorder the terms: -5a + 2a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -5a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-5 + 2a) = 0Subproblem 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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