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Simplifying a2 = 15a + -56 Reorder the terms: a2 = -56 + 15a Solving a2 = -56 + 15a Solving for variable 'a'. Reorder the terms: 56 + -15a + a2 = -56 + 15a + 56 + -15a Reorder the terms: 56 + -15a + a2 = -56 + 56 + 15a + -15a Combine like terms: -56 + 56 = 0 56 + -15a + a2 = 0 + 15a + -15a 56 + -15a + a2 = 15a + -15a Combine like terms: 15a + -15a = 0 56 + -15a + a2 = 0 Factor a trinomial. (7 + -1a)(8 + -1a) = 0Subproblem 1
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8Solution
a = {7, 8}
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