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Simplifying 750 = x(x + 5) Reorder the terms: 750 = x(5 + x) 750 = (5 * x + x * x) 750 = (5x + x2) Solving 750 = 5x + x2 Solving for variable 'x'. Reorder the terms: 750 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 750 + -5x + -1x2 = 0 + x2 + -1x2 750 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 750 + -5x + -1x2 = 0 Factor a trinomial. (25 + -1x)(30 + x) = 0Subproblem 1
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 = 25Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 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 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Solution
x = {25, -30}
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