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Simplifying 2x2 + 20x + -4000 = 0 Reorder the terms: -4000 + 20x + 2x2 = 0 Solving -4000 + 20x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2000 + 10x + x2) = 0 Factor a trinomial. 2((-50 + -1x)(40 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve: Simplifying -50 + -1x = 0 Solving -50 + -1x = 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 + -1x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = 0 + 50 -1x = 0 + 50 Combine like terms: 0 + 50 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50Subproblem 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 = {-50, 40}
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