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Simplifying 1500 = (20 + x) * x Reorder the terms for easier multiplication: 1500 = x(20 + x) 1500 = (20 * x + x * x) 1500 = (20x + x2) Solving 1500 = 20x + x2 Solving for variable 'x'. Reorder the terms: 1500 + -20x + -1x2 = 20x + -20x + x2 + -1x2 Combine like terms: 20x + -20x = 0 1500 + -20x + -1x2 = 0 + x2 + -1x2 1500 + -20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1500 + -20x + -1x2 = 0 Factor a trinomial. (30 + -1x)(50 + 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 '(50 + x)' equal to zero and attempt to solve: Simplifying 50 + x = 0 Solving 50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + x = 0 + -50 x = 0 + -50 Combine like terms: 0 + -50 = -50 x = -50 Simplifying x = -50Solution
x = {30, -50}
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