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Simplifying -3x2 + 624x + -4800 = 0 Reorder the terms: -4800 + 624x + -3x2 = 0 Solving -4800 + 624x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1600 + 208x + -1x2) = 0 Factor a trinomial. 3((-200 + x)(8 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-200 + x)' equal to zero and attempt to solve: Simplifying -200 + x = 0 Solving -200 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + x = 0 + 200 x = 0 + 200 Combine like terms: 0 + 200 = 200 x = 200 Simplifying x = 200Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {200, 8}
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