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Simplifying x(22 + -1x) = 112 (22 * x + -1x * x) = 112 (22x + -1x2) = 112 Solving 22x + -1x2 = 112 Solving for variable 'x'. Reorder the terms: -112 + 22x + -1x2 = 112 + -112 Combine like terms: 112 + -112 = 0 -112 + 22x + -1x2 = 0 Factor a trinomial. (-14 + x)(8 + -1x) = 0Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {14, 8}
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