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Simplifying 8X2 + -20X + -600 = 0 Reorder the terms: -600 + -20X + 8X2 = 0 Solving -600 + -20X + 8X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(-150 + -5X + 2X2) = 0 Factor a trinomial. 4((-15 + -2X)(10 + -1X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -2X)' equal to zero and attempt to solve: Simplifying -15 + -2X = 0 Solving -15 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2X = 0 + 15 -2X = 0 + 15 Combine like terms: 0 + 15 = 15 -2X = 15 Divide each side by '-2'. X = -7.5 Simplifying X = -7.5Subproblem 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 = {-7.5, 10}
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