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Simplifying 6x2 + -200x + -9600 = 0 Reorder the terms: -9600 + -200x + 6x2 = 0 Solving -9600 + -200x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4800 + -100x + 3x2) = 0 Factor a trinomial. 2((-80 + -3x)(60 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-80 + -3x)' equal to zero and attempt to solve: Simplifying -80 + -3x = 0 Solving -80 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -3x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -3x = 0 + 80 -3x = 0 + 80 Combine like terms: 0 + 80 = 80 -3x = 80 Divide each side by '-3'. x = -26.66666667 Simplifying x = -26.66666667Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-26.66666667, 60}
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