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Simplifying 3a2 = 57a Solving 3a2 = 57a Solving for variable 'a'. Reorder the terms: -57a + 3a2 = 57a + -57a Combine like terms: 57a + -57a = 0 -57a + 3a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-19 + 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 '(-19 + a)' equal to zero and attempt to solve: Simplifying -19 + a = 0 Solving -19 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + a = 0 + 19 Combine like terms: -19 + 19 = 0 0 + a = 0 + 19 a = 0 + 19 Combine like terms: 0 + 19 = 19 a = 19 Simplifying a = 19Solution
a = {0, 19}
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