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Simplifying 3X2 + -200X + 3125 = 0 Reorder the terms: 3125 + -200X + 3X2 = 0 Solving 3125 + -200X + 3X2 = 0 Solving for variable 'X'. Factor a trinomial. (25 + -1X)(125 + -3X) = 0Subproblem 1
Set the factor '(25 + -1X)' equal to zero and attempt to solve: Simplifying 25 + -1X = 0 Solving 25 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1X = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1X = 0 + -25 -1X = 0 + -25 Combine like terms: 0 + -25 = -25 -1X = -25 Divide each side by '-1'. X = 25 Simplifying X = 25Subproblem 2
Set the factor '(125 + -3X)' equal to zero and attempt to solve: Simplifying 125 + -3X = 0 Solving 125 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -3X = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -3X = 0 + -125 -3X = 0 + -125 Combine like terms: 0 + -125 = -125 -3X = -125 Divide each side by '-3'. X = 41.66666667 Simplifying X = 41.66666667Solution
X = {25, 41.66666667}
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