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Simplifying 20a2 + -25a = 5a Reorder the terms: -25a + 20a2 = 5a Solving -25a + 20a2 = 5a Solving for variable 'a'. Reorder the terms: -25a + -5a + 20a2 = 5a + -5a Combine like terms: -25a + -5a = -30a -30a + 20a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -30a + 20a2 = 0 Factor out the Greatest Common Factor (GCF), '10a'. 10a(-3 + 2a) = 0 Ignore the factor 10.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 '(-3 + 2a)' equal to zero and attempt to solve: Simplifying -3 + 2a = 0 Solving -3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 0 + 3 2a = 0 + 3 Combine like terms: 0 + 3 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5Solution
a = {0, 1.5}
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