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Simplifying a2 + -15a + -76 = 0 Reorder the terms: -76 + -15a + a2 = 0 Solving -76 + -15a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -1a)(19 + -1a) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(19 + -1a)' equal to zero and attempt to solve: Simplifying 19 + -1a = 0 Solving 19 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1a = 0 + -19 -1a = 0 + -19 Combine like terms: 0 + -19 = -19 -1a = -19 Divide each side by '-1'. a = 19 Simplifying a = 19Solution
a = {-4, 19}
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