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Simplifying x(x + 25) + -7500 = 0 Reorder the terms: x(25 + x) + -7500 = 0 (25 * x + x * x) + -7500 = 0 (25x + x2) + -7500 = 0 Reorder the terms: -7500 + 25x + x2 = 0 Solving -7500 + 25x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -1x)(75 + -1x) = 0Subproblem 1
Set the factor '(-100 + -1x)' equal to zero and attempt to solve: Simplifying -100 + -1x = 0 Solving -100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -1x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -1x = 0 + 100 -1x = 0 + 100 Combine like terms: 0 + 100 = 100 -1x = 100 Divide each side by '-1'. x = -100 Simplifying x = -100Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 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 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Solution
x = {-100, 75}
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