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Simplifying (x + -12)(x + 11) = 0 Reorder the terms: (-12 + x)(x + 11) = 0 Reorder the terms: (-12 + x)(11 + x) = 0 Multiply (-12 + x) * (11 + x) (-12(11 + x) + x(11 + x)) = 0 ((11 * -12 + x * -12) + x(11 + x)) = 0 ((-132 + -12x) + x(11 + x)) = 0 (-132 + -12x + (11 * x + x * x)) = 0 (-132 + -12x + (11x + x2)) = 0 Combine like terms: -12x + 11x = -1x (-132 + -1x + x2) = 0 Solving -132 + -1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-11, 12}
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