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Simplifying (x + 11)(x + 13) = 0 Reorder the terms: (11 + x)(x + 13) = 0 Reorder the terms: (11 + x)(13 + x) = 0 Multiply (11 + x) * (13 + x) (11(13 + x) + x(13 + x)) = 0 ((13 * 11 + x * 11) + x(13 + x)) = 0 ((143 + 11x) + x(13 + x)) = 0 (143 + 11x + (13 * x + x * x)) = 0 (143 + 11x + (13x + x2)) = 0 Combine like terms: 11x + 13x = 24x (143 + 24x + x2) = 0 Solving 143 + 24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + x)(11 + x) = 0Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 2
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 = -11Solution
x = {-13, -11}
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