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Simplifying a2 = -5a + 6 Reorder the terms: a2 = 6 + -5a Solving a2 = 6 + -5a Solving for variable 'a'. Reorder the terms: -6 + 5a + a2 = 6 + -5a + -6 + 5a Reorder the terms: -6 + 5a + a2 = 6 + -6 + -5a + 5a Combine like terms: 6 + -6 = 0 -6 + 5a + a2 = 0 + -5a + 5a -6 + 5a + a2 = -5a + 5a Combine like terms: -5a + 5a = 0 -6 + 5a + a2 = 0 Factor a trinomial. (-6 + -1a)(1 + -1a) = 0Subproblem 1
Set the factor '(-6 + -1a)' equal to zero and attempt to solve: Simplifying -6 + -1a = 0 Solving -6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = 0 + 6 -1a = 0 + 6 Combine like terms: 0 + 6 = 6 -1a = 6 Divide each side by '-1'. a = -6 Simplifying a = -6Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-6, 1}
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