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Simplifying a2 + -6a = 20 + 2a Reorder the terms: -6a + a2 = 20 + 2a Solving -6a + a2 = 20 + 2a Solving for variable 'a'. Reorder the terms: -20 + -6a + -2a + a2 = 20 + 2a + -20 + -2a Combine like terms: -6a + -2a = -8a -20 + -8a + a2 = 20 + 2a + -20 + -2a Reorder the terms: -20 + -8a + a2 = 20 + -20 + 2a + -2a Combine like terms: 20 + -20 = 0 -20 + -8a + a2 = 0 + 2a + -2a -20 + -8a + a2 = 2a + -2a Combine like terms: 2a + -2a = 0 -20 + -8a + a2 = 0 Factor a trinomial. (-2 + -1a)(10 + -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 '(10 + -1a)' equal to zero and attempt to solve: Simplifying 10 + -1a = 0 Solving 10 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 0 + -10 -1a = 0 + -10 Combine like terms: 0 + -10 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10Solution
a = {-2, 10}
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