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Simplifying -18x2 + 6400x + -275000 = 0 Reorder the terms: -275000 + 6400x + -18x2 = 0 Solving -275000 + 6400x + -18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-137500 + 3200x + -9x2) = 0 Factor a trinomial. 2((-2750 + 9x)(50 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2750 + 9x)' equal to zero and attempt to solve: Simplifying -2750 + 9x = 0 Solving -2750 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '2750' to each side of the equation. -2750 + 2750 + 9x = 0 + 2750 Combine like terms: -2750 + 2750 = 0 0 + 9x = 0 + 2750 9x = 0 + 2750 Combine like terms: 0 + 2750 = 2750 9x = 2750 Divide each side by '9'. x = 305.5555556 Simplifying x = 305.5555556Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 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 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {305.5555556, 50}
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