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Simplifying X2 + -65X + 1000 = 0 Reorder the terms: 1000 + -65X + X2 = 0 Solving 1000 + -65X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (25 + -1X)(40 + -1X) = 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 '(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 = {25, 40}
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