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Simplifying x(81 + -1x) = 1400 (81 * x + -1x * x) = 1400 (81x + -1x2) = 1400 Solving 81x + -1x2 = 1400 Solving for variable 'x'. Reorder the terms: -1400 + 81x + -1x2 = 1400 + -1400 Combine like terms: 1400 + -1400 = 0 -1400 + 81x + -1x2 = 0 Factor a trinomial. (-56 + x)(25 + -1x) = 0Subproblem 1
Set the factor '(-56 + x)' equal to zero and attempt to solve: Simplifying -56 + x = 0 Solving -56 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + x = 0 + 56 x = 0 + 56 Combine like terms: 0 + 56 = 56 x = 56 Simplifying x = 56Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {56, 25}
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