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Simplifying a(a + 2) = 99 Reorder the terms: a(2 + a) = 99 (2 * a + a * a) = 99 (2a + a2) = 99 Solving 2a + a2 = 99 Solving for variable 'a'. Reorder the terms: -99 + 2a + a2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 2a + a2 = 0 Factor a trinomial. (-11 + -1a)(9 + -1a) = 0Subproblem 1
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 = -11Subproblem 2
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 = 9Solution
a = {-11, 9}
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