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Simplifying -3x2 + 900x + 52500 = 0 Reorder the terms: 52500 + 900x + -3x2 = 0 Solving 52500 + 900x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(17500 + 300x + -1x2) = 0 Factor a trinomial. 3((350 + -1x)(50 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(350 + -1x)' equal to zero and attempt to solve: Simplifying 350 + -1x = 0 Solving 350 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-350' to each side of the equation. 350 + -350 + -1x = 0 + -350 Combine like terms: 350 + -350 = 0 0 + -1x = 0 + -350 -1x = 0 + -350 Combine like terms: 0 + -350 = -350 -1x = -350 Divide each side by '-1'. x = 350 Simplifying x = 350Subproblem 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 = {350, -50}
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