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Simplifying x(2x + -5) = 3000 Reorder the terms: x(-5 + 2x) = 3000 (-5 * x + 2x * x) = 3000 (-5x + 2x2) = 3000 Solving -5x + 2x2 = 3000 Solving for variable 'x'. Reorder the terms: -3000 + -5x + 2x2 = 3000 + -3000 Combine like terms: 3000 + -3000 = 0 -3000 + -5x + 2x2 = 0 Factor a trinomial. (-75 + -2x)(40 + -1x) = 0Subproblem 1
Set the factor '(-75 + -2x)' equal to zero and attempt to solve: Simplifying -75 + -2x = 0 Solving -75 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -2x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -2x = 0 + 75 -2x = 0 + 75 Combine like terms: 0 + 75 = 75 -2x = 75 Divide each side by '-2'. x = -37.5 Simplifying x = -37.5Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 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 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-37.5, 40}
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