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Simplifying x(100 + -1x) = 2100 (100 * x + -1x * x) = 2100 (100x + -1x2) = 2100 Solving 100x + -1x2 = 2100 Solving for variable 'x'. Reorder the terms: -2100 + 100x + -1x2 = 2100 + -2100 Combine like terms: 2100 + -2100 = 0 -2100 + 100x + -1x2 = 0 Factor a trinomial. (-70 + x)(30 + -1x) = 0Subproblem 1
Set the factor '(-70 + x)' equal to zero and attempt to solve: Simplifying -70 + x = 0 Solving -70 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + x = 0 + 70 x = 0 + 70 Combine like terms: 0 + 70 = 70 x = 70 Simplifying x = 70Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {70, 30}
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