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Simplifying 2a(a + -5) + 4a(a + -5) = 0 Reorder the terms: 2a(-5 + a) + 4a(a + -5) = 0 (-5 * 2a + a * 2a) + 4a(a + -5) = 0 (-10a + 2a2) + 4a(a + -5) = 0 Reorder the terms: -10a + 2a2 + 4a(-5 + a) = 0 -10a + 2a2 + (-5 * 4a + a * 4a) = 0 -10a + 2a2 + (-20a + 4a2) = 0 Reorder the terms: -10a + -20a + 2a2 + 4a2 = 0 Combine like terms: -10a + -20a = -30a -30a + 2a2 + 4a2 = 0 Combine like terms: 2a2 + 4a2 = 6a2 -30a + 6a2 = 0 Solving -30a + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(-5 + a) = 0 Ignore the factor 6.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 + a)' equal to zero and attempt to solve: Simplifying -5 + a = 0 Solving -5 + a = 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 + a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a = 0 + 5 a = 0 + 5 Combine like terms: 0 + 5 = 5 a = 5 Simplifying a = 5Solution
a = {0, 5}
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