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Simplifying (a + -5)(4a + -1a) = 0 Reorder the terms: (-5 + a)(4a + -1a) = 0 Combine like terms: 4a + -1a = 3a (-5 + a)(3a) = 0 Remove parenthesis around (3a) (-5 + a) * 3a = 0 Reorder the terms for easier multiplication: 3a(-5 + a) = 0 (-5 * 3a + a * 3a) = 0 (-15a + 3a2) = 0 Solving -15a + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-5 + a) = 0 Ignore the factor 3.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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