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Simplifying 3x2 + -1800x + 202500 = 0 Reorder the terms: 202500 + -1800x + 3x2 = 0 Solving 202500 + -1800x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(67500 + -600x + x2) = 0 Factor a trinomial. 3((150 + -1x)(450 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(150 + -1x)' equal to zero and attempt to solve: Simplifying 150 + -1x = 0 Solving 150 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -1x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -1x = 0 + -150 -1x = 0 + -150 Combine like terms: 0 + -150 = -150 -1x = -150 Divide each side by '-1'. x = 150 Simplifying x = 150Subproblem 2
Set the factor '(450 + -1x)' equal to zero and attempt to solve: Simplifying 450 + -1x = 0 Solving 450 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + -1x = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -1x = 0 + -450 -1x = 0 + -450 Combine like terms: 0 + -450 = -450 -1x = -450 Divide each side by '-1'. x = 450 Simplifying x = 450Solution
x = {150, 450}
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