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Simplifying x(445 + -4x) = 10000 (445 * x + -4x * x) = 10000 (445x + -4x2) = 10000 Solving 445x + -4x2 = 10000 Solving for variable 'x'. Reorder the terms: -10000 + 445x + -4x2 = 10000 + -10000 Combine like terms: 10000 + -10000 = 0 -10000 + 445x + -4x2 = 0 Factor a trinomial. (-80 + x)(125 + -4x) = 0Subproblem 1
Set the factor '(-80 + x)' equal to zero and attempt to solve: Simplifying -80 + x = 0 Solving -80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + x = 0 + 80 x = 0 + 80 Combine like terms: 0 + 80 = 80 x = 80 Simplifying x = 80Subproblem 2
Set the factor '(125 + -4x)' equal to zero and attempt to solve: Simplifying 125 + -4x = 0 Solving 125 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -4x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -4x = 0 + -125 -4x = 0 + -125 Combine like terms: 0 + -125 = -125 -4x = -125 Divide each side by '-4'. x = 31.25 Simplifying x = 31.25Solution
x = {80, 31.25}
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