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Simplifying a2 + -22 = 5a + -8 Reorder the terms: -22 + a2 = 5a + -8 Reorder the terms: -22 + a2 = -8 + 5a Solving -22 + a2 = -8 + 5a Solving for variable 'a'. Reorder the terms: -22 + 8 + -5a + a2 = -8 + 5a + 8 + -5a Combine like terms: -22 + 8 = -14 -14 + -5a + a2 = -8 + 5a + 8 + -5a Reorder the terms: -14 + -5a + a2 = -8 + 8 + 5a + -5a Combine like terms: -8 + 8 = 0 -14 + -5a + a2 = 0 + 5a + -5a -14 + -5a + a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -14 + -5a + a2 = 0 Factor a trinomial. (-2 + -1a)(7 + -1a) = 0Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2Subproblem 2
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 = 7Solution
a = {-2, 7}
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