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Simplifying 0 = 3a2 + 30a + -6a2 Reorder the terms: 0 = 30a + 3a2 + -6a2 Combine like terms: 3a2 + -6a2 = -3a2 0 = 30a + -3a2 Solving 0 = 30a + -3a2 Solving for variable 'a'. Remove the zero: -30a + 3a2 = 30a + -3a2 + -30a + 3a2 Reorder the terms: -30a + 3a2 = 30a + -30a + -3a2 + 3a2 Combine like terms: 30a + -30a = 0 -30a + 3a2 = 0 + -3a2 + 3a2 -30a + 3a2 = -3a2 + 3a2 Combine like terms: -3a2 + 3a2 = 0 -30a + 3a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-10 + 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 '(-10 + a)' equal to zero and attempt to solve: Simplifying -10 + a = 0 Solving -10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + a = 0 + 10 a = 0 + 10 Combine like terms: 0 + 10 = 10 a = 10 Simplifying a = 10Solution
a = {0, 10}
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