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Simplifying x(46 + -1x) = 240 (46 * x + -1x * x) = 240 (46x + -1x2) = 240 Solving 46x + -1x2 = 240 Solving for variable 'x'. Reorder the terms: -240 + 46x + -1x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 46x + -1x2 = 0 Factor a trinomial. (-40 + x)(6 + -1x) = 0Subproblem 1
Set the factor '(-40 + x)' equal to zero and attempt to solve: Simplifying -40 + x = 0 Solving -40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + x = 0 + 40 x = 0 + 40 Combine like terms: 0 + 40 = 40 x = 40 Simplifying x = 40Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {40, 6}
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