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Simplifying 15x2 + -10000x + 1250000 = 0 Reorder the terms: 1250000 + -10000x + 15x2 = 0 Solving 1250000 + -10000x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(250000 + -2000x + 3x2) = 0 Factor a trinomial. 5((500 + -3x)(500 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(500 + -3x)' equal to zero and attempt to solve: Simplifying 500 + -3x = 0 Solving 500 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -3x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -3x = 0 + -500 -3x = 0 + -500 Combine like terms: 0 + -500 = -500 -3x = -500 Divide each side by '-3'. x = 166.6666667 Simplifying x = 166.6666667Subproblem 2
Set the factor '(500 + -1x)' equal to zero and attempt to solve: Simplifying 500 + -1x = 0 Solving 500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -1x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -1x = 0 + -500 -1x = 0 + -500 Combine like terms: 0 + -500 = -500 -1x = -500 Divide each side by '-1'. x = 500 Simplifying x = 500Solution
x = {166.6666667, 500}
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