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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 = -2x (-143 + -2x + x2) = 0 Solving -143 + -2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(13 + -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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-11, 13}
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