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Simplifying x(35 + -1x) = 300 (35 * x + -1x * x) = 300 (35x + -1x2) = 300 Solving 35x + -1x2 = 300 Solving for variable 'x'. Reorder the terms: -300 + 35x + -1x2 = 300 + -300 Combine like terms: 300 + -300 = 0 -300 + 35x + -1x2 = 0 Factor a trinomial. (-20 + x)(15 + -1x) = 0Subproblem 1
Set the factor '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {20, 15}
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