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Simplifying x(30 + -1x) = 161 (30 * x + -1x * x) = 161 (30x + -1x2) = 161 Solving 30x + -1x2 = 161 Solving for variable 'x'. Reorder the terms: -161 + 30x + -1x2 = 161 + -161 Combine like terms: 161 + -161 = 0 -161 + 30x + -1x2 = 0 Factor a trinomial. (-23 + x)(7 + -1x) = 0Subproblem 1
Set the factor '(-23 + x)' equal to zero and attempt to solve: Simplifying -23 + x = 0 Solving -23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + x = 0 + 23 x = 0 + 23 Combine like terms: 0 + 23 = 23 x = 23 Simplifying x = 23Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {23, 7}
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