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Simplifying -2a2 + 28a + -80 = 0 Reorder the terms: -80 + 28a + -2a2 = 0 Solving -80 + 28a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 14a + -1a2) = 0 Factor a trinomial. 2((-10 + a)(4 + -1a)) = 0 Ignore the factor 2.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 '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {10, 4}
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