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Simplifying 2a(a + -1) * 2a = 0 Reorder the terms: 2a(-1 + a) * 2a = 0 Reorder the terms for easier multiplication: 2 * 2a * a(-1 + a) = 0 Multiply 2 * 2 4a * a(-1 + a) = 0 Multiply a * a 4a2(-1 + a) = 0 (-1 * 4a2 + a * 4a2) = 0 (-4a2 + 4a3) = 0 Solving -4a2 + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(-1 + a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1Solution
a = {0, 1}
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