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Simplifying 2a = 2a2 + -4 * 2a Multiply -4 * 2 2a = 2a2 + -8a Reorder the terms: 2a = -8a + 2a2 Solving 2a = -8a + 2a2 Solving for variable 'a'. Combine like terms: 2a + 8a = 10a 10a + -2a2 = -8a + 2a2 + 8a + -2a2 Reorder the terms: 10a + -2a2 = -8a + 8a + 2a2 + -2a2 Combine like terms: -8a + 8a = 0 10a + -2a2 = 0 + 2a2 + -2a2 10a + -2a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 10a + -2a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(5 + -1a) = 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 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 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 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {0, 5}
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