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Simplifying (x + 11)(x + 12) = 0 Reorder the terms: (11 + x)(x + 12) = 0 Reorder the terms: (11 + x)(12 + x) = 0 Multiply (11 + x) * (12 + x) (11(12 + x) + x(12 + x)) = 0 ((12 * 11 + x * 11) + x(12 + x)) = 0 ((132 + 11x) + x(12 + x)) = 0 (132 + 11x + (12 * x + x * x)) = 0 (132 + 11x + (12x + x2)) = 0 Combine like terms: 11x + 12x = 23x (132 + 23x + x2) = 0 Solving 132 + 23x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x)(11 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 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 = {-12, -11}
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