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Simplifying -2a2 + -10a + 300 = 0 Reorder the terms: 300 + -10a + -2a2 = 0 Solving 300 + -10a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(150 + -5a + -1a2) = 0 Factor a trinomial. 2((10 + -1a)(15 + a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -1a)' equal to zero and attempt to solve: Simplifying 10 + -1a = 0 Solving 10 + -1a = 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 + -1a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 0 + -10 -1a = 0 + -10 Combine like terms: 0 + -10 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10Subproblem 2
Set the factor '(15 + a)' equal to zero and attempt to solve: Simplifying 15 + a = 0 Solving 15 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + a = 0 + -15 a = 0 + -15 Combine like terms: 0 + -15 = -15 a = -15 Simplifying a = -15Solution
a = {10, -15}
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