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Simplifying 0 = x2 + 35x + -750 Reorder the terms: 0 = -750 + 35x + x2 Solving 0 = -750 + 35x + x2 Solving for variable 'x'. Combine like terms: 0 + 750 = 750 750 + -35x + -1x2 = -750 + 35x + x2 + 750 + -35x + -1x2 Reorder the terms: 750 + -35x + -1x2 = -750 + 750 + 35x + -35x + x2 + -1x2 Combine like terms: -750 + 750 = 0 750 + -35x + -1x2 = 0 + 35x + -35x + x2 + -1x2 750 + -35x + -1x2 = 35x + -35x + x2 + -1x2 Combine like terms: 35x + -35x = 0 750 + -35x + -1x2 = 0 + x2 + -1x2 750 + -35x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 750 + -35x + -1x2 = 0 Factor a trinomial. (15 + -1x)(50 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 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 = {15, -50}
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