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Simplifying (x + 11)(x + 5) = 0 Reorder the terms: (11 + x)(x + 5) = 0 Reorder the terms: (11 + x)(5 + x) = 0 Multiply (11 + x) * (5 + x) (11(5 + x) + x(5 + x)) = 0 ((5 * 11 + x * 11) + x(5 + x)) = 0 ((55 + 11x) + x(5 + x)) = 0 (55 + 11x + (5 * x + x * x)) = 0 (55 + 11x + (5x + x2)) = 0 Combine like terms: 11x + 5x = 16x (55 + 16x + x2) = 0 Solving 55 + 16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-11, -5}
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