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Simplifying -6 = a2 + -5a Reorder the terms: -6 = -5a + a2 Solving -6 = -5a + a2 Solving for variable 'a'. Reorder the terms: -6 + 5a + -1a2 = -5a + 5a + a2 + -1a2 Combine like terms: -5a + 5a = 0 -6 + 5a + -1a2 = 0 + a2 + -1a2 -6 + 5a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -6 + 5a + -1a2 = 0 Factor a trinomial. (-3 + a)(2 + -1a) = 0Subproblem 1
Set the factor '(-3 + a)' equal to zero and attempt to solve: Simplifying -3 + a = 0 Solving -3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a = 0 + 3 a = 0 + 3 Combine like terms: 0 + 3 = 3 a = 3 Simplifying a = 3Subproblem 2
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 = 2Solution
a = {3, 2}
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