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Simplifying (x + 5) * x = 750 Reorder the terms: (5 + x) * x = 750 Reorder the terms for easier multiplication: x(5 + x) = 750 (5 * x + x * x) = 750 (5x + x2) = 750 Solving 5x + x2 = 750 Solving for variable 'x'. Reorder the terms: -750 + 5x + x2 = 750 + -750 Combine like terms: 750 + -750 = 0 -750 + 5x + x2 = 0 Factor a trinomial. (-30 + -1x)(25 + -1x) = 0Subproblem 1
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 = -30Subproblem 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 = {-30, 25}
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