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Simplifying (22 + -1x)(x + -13) = 0 Reorder the terms: (22 + -1x)(-13 + x) = 0 Multiply (22 + -1x) * (-13 + x) (22(-13 + x) + -1x * (-13 + x)) = 0 ((-13 * 22 + x * 22) + -1x * (-13 + x)) = 0 ((-286 + 22x) + -1x * (-13 + x)) = 0 (-286 + 22x + (-13 * -1x + x * -1x)) = 0 (-286 + 22x + (13x + -1x2)) = 0 Combine like terms: 22x + 13x = 35x (-286 + 35x + -1x2) = 0 Solving -286 + 35x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-22 + x)(13 + -1x) = 0Subproblem 1
Set the factor '(-22 + x)' equal to zero and attempt to solve: Simplifying -22 + x = 0 Solving -22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + x = 0 + 22 x = 0 + 22 Combine like terms: 0 + 22 = 22 x = 22 Simplifying x = 22Subproblem 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 = {22, 13}
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