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Simplifying 99 + -1a2 + -2a = 0 Reorder the terms: 99 + -2a + -1a2 = 0 Solving 99 + -2a + -1a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + -1a)(11 + a) = 0Subproblem 1
Set the factor '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9Subproblem 2
Set the factor '(11 + a)' equal to zero and attempt to solve: Simplifying 11 + a = 0 Solving 11 + a = 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 + a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + a = 0 + -11 a = 0 + -11 Combine like terms: 0 + -11 = -11 a = -11 Simplifying a = -11Solution
a = {9, -11}
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