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Simplifying a2 + 2a = 143 Reorder the terms: 2a + a2 = 143 Solving 2a + a2 = 143 Solving for variable 'a'. Reorder the terms: -143 + 2a + a2 = 143 + -143 Combine like terms: 143 + -143 = 0 -143 + 2a + a2 = 0 Factor a trinomial. (-13 + -1a)(11 + -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 '(11 + -1a)' equal to zero and attempt to solve: Simplifying 11 + -1a = 0 Solving 11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = 0 + -11 -1a = 0 + -11 Combine like terms: 0 + -11 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11Solution
a = {-13, 11}
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