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Simplifying 5a(2a + -2) + 4 = 4 Reorder the terms: 5a(-2 + 2a) + 4 = 4 (-2 * 5a + 2a * 5a) + 4 = 4 (-10a + 10a2) + 4 = 4 Reorder the terms: 4 + -10a + 10a2 = 4 Add '-4' to each side of the equation. 4 + -10a + -4 + 10a2 = 4 + -4 Reorder the terms: 4 + -4 + -10a + 10a2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -10a + 10a2 = 4 + -4 -10a + 10a2 = 4 + -4 Combine like terms: 4 + -4 = 0 -10a + 10a2 = 0 Solving -10a + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a'. 10a(-1 + a) = 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 '(-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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