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Simplifying x2 + 55x + -1500 = 0 Reorder the terms: -1500 + 55x + x2 = 0 Solving -1500 + 55x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-75 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-75 + -1x)' equal to zero and attempt to solve: Simplifying -75 + -1x = 0 Solving -75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -1x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -1x = 0 + 75 -1x = 0 + 75 Combine like terms: 0 + 75 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-75, 20}
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