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Simplifying x(30 + -1x) = 176 (30 * x + -1x * x) = 176 (30x + -1x2) = 176 Solving 30x + -1x2 = 176 Solving for variable 'x'. Reorder the terms: -176 + 30x + -1x2 = 176 + -176 Combine like terms: 176 + -176 = 0 -176 + 30x + -1x2 = 0 Factor a trinomial. (-22 + x)(8 + -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 '(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 = {22, 8}
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