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Simplifying x2 + -2500x + 1440000 = 0 Reorder the terms: 1440000 + -2500x + x2 = 0 Solving 1440000 + -2500x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (900 + -1x)(1600 + -1x) = 0Subproblem 1
Set the factor '(900 + -1x)' equal to zero and attempt to solve: Simplifying 900 + -1x = 0 Solving 900 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-900' to each side of the equation. 900 + -900 + -1x = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -1x = 0 + -900 -1x = 0 + -900 Combine like terms: 0 + -900 = -900 -1x = -900 Divide each side by '-1'. x = 900 Simplifying x = 900Subproblem 2
Set the factor '(1600 + -1x)' equal to zero and attempt to solve: Simplifying 1600 + -1x = 0 Solving 1600 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1600' to each side of the equation. 1600 + -1600 + -1x = 0 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -1x = 0 + -1600 -1x = 0 + -1600 Combine like terms: 0 + -1600 = -1600 -1x = -1600 Divide each side by '-1'. x = 1600 Simplifying x = 1600Solution
x = {900, 1600}
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