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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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