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Simplifying (x + 9)(x + 11) = 0 Reorder the terms: (9 + x)(x + 11) = 0 Reorder the terms: (9 + x)(11 + x) = 0 Multiply (9 + x) * (11 + x) (9(11 + x) + x(11 + x)) = 0 ((11 * 9 + x * 9) + x(11 + x)) = 0 ((99 + 9x) + x(11 + x)) = 0 (99 + 9x + (11 * x + x * x)) = 0 (99 + 9x + (11x + x2)) = 0 Combine like terms: 9x + 11x = 20x (99 + 20x + x2) = 0 Solving 99 + 20x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + x)(9 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {-11, -9}
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