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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. (30 + -1X)(25 + X) = 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 + X)' equal to zero and attempt to solve: Simplifying 25 + X = 0 Solving 25 + X = 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 + X = 0 + -25 Combine like terms: 25 + -25 = 0 0 + X = 0 + -25 X = 0 + -25 Combine like terms: 0 + -25 = -25 X = -25 Simplifying X = -25Solution
X = {30, -25}
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