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Simplifying -3a2 + -33a + -30 = 0 Reorder the terms: -30 + -33a + -3a2 = 0 Solving -30 + -33a + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-3'. -3(10 + 11a + a2) = 0 Factor a trinomial. -3((10 + a)(1 + a)) = 0 Ignore the factor -3.Subproblem 1
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 = -10Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {-10, -1}
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