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Simplifying 10a2 = 30a Solving 10a2 = 30a Solving for variable 'a'. Reorder the terms: -30a + 10a2 = 30a + -30a Combine like terms: 30a + -30a = 0 -30a + 10a2 = 0 Factor out the Greatest Common Factor (GCF), '10a'. 10a(-3 + 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 '(-3 + a)' equal to zero and attempt to solve: Simplifying -3 + a = 0 Solving -3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a = 0 + 3 a = 0 + 3 Combine like terms: 0 + 3 = 3 a = 3 Simplifying a = 3Solution
a = {0, 3}
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