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Simplifying a2 + -20a + -1056 = 0 Reorder the terms: -1056 + -20a + a2 = 0 Solving -1056 + -20a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-24 + -1a)(44 + -1a) = 0Subproblem 1
Set the factor '(-24 + -1a)' equal to zero and attempt to solve: Simplifying -24 + -1a = 0 Solving -24 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1a = 0 + 24 -1a = 0 + 24 Combine like terms: 0 + 24 = 24 -1a = 24 Divide each side by '-1'. a = -24 Simplifying a = -24Subproblem 2
Set the factor '(44 + -1a)' equal to zero and attempt to solve: Simplifying 44 + -1a = 0 Solving 44 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1a = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1a = 0 + -44 -1a = 0 + -44 Combine like terms: 0 + -44 = -44 -1a = -44 Divide each side by '-1'. a = 44 Simplifying a = 44Solution
a = {-24, 44}
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