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Simplifying 12x2 + -40x + -800 = 0 Reorder the terms: -800 + -40x + 12x2 = 0 Solving -800 + -40x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-200 + -10x + 3x2) = 0 Factor a trinomial. 4((-20 + -3x)(10 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-6.666666667, 10}
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