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Simplifying 12x2 + -280x + -8000 = 0 Reorder the terms: -8000 + -280x + 12x2 = 0 Solving -8000 + -280x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-2000 + -70x + 3x2) = 0 Factor a trinomial. 4((-50 + -3x)(40 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-50 + -3x)' equal to zero and attempt to solve: Simplifying -50 + -3x = 0 Solving -50 + -3x = 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 + -3x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -3x = 0 + 50 -3x = 0 + 50 Combine like terms: 0 + 50 = 50 -3x = 50 Divide each side by '-3'. x = -16.66666667 Simplifying x = -16.66666667Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-16.66666667, 40}
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