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Simplifying -840x2 + 2500x + -1000 = 0 Reorder the terms: -1000 + 2500x + -840x2 = 0 Solving -1000 + 2500x + -840x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20'. 20(-50 + 125x + -42x2) = 0 Factor a trinomial. 20((-5 + 2x)(10 + -21x)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(10 + -21x)' equal to zero and attempt to solve: Simplifying 10 + -21x = 0 Solving 10 + -21x = 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 + -21x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -21x = 0 + -10 -21x = 0 + -10 Combine like terms: 0 + -10 = -10 -21x = -10 Divide each side by '-21'. x = 0.4761904762 Simplifying x = 0.4761904762Solution
x = {2.5, 0.4761904762}
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