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Simplifying 2x2 + 210x + -27000 = 0 Reorder the terms: -27000 + 210x + 2x2 = 0 Solving -27000 + 210x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-13500 + 105x + x2) = 0 Factor a trinomial. 2((-180 + -1x)(75 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-180 + -1x)' equal to zero and attempt to solve: Simplifying -180 + -1x = 0 Solving -180 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + -1x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + -1x = 0 + 180 -1x = 0 + 180 Combine like terms: 0 + 180 = 180 -1x = 180 Divide each side by '-1'. x = -180 Simplifying x = -180Subproblem 2
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 = 75Solution
x = {-180, 75}
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