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Simplifying a2 + 12a = 13 Reorder the terms: 12a + a2 = 13 Solving 12a + a2 = 13 Solving for variable 'a'. Reorder the terms: -13 + 12a + a2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + 12a + a2 = 0 Factor a trinomial. (-13 + -1a)(1 + -1a) = 0Subproblem 1
Set the factor '(-13 + -1a)' equal to zero and attempt to solve: Simplifying -13 + -1a = 0 Solving -13 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1a = 0 + 13 -1a = 0 + 13 Combine like terms: 0 + 13 = 13 -1a = 13 Divide each side by '-1'. a = -13 Simplifying a = -13Subproblem 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 = {-13, 1}
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