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Simplifying x2 + -1828x + 50400 = 0 Reorder the terms: 50400 + -1828x + x2 = 0 Solving 50400 + -1828x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (28 + -1x)(1800 + -1x) = 0Subproblem 1
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Subproblem 2
Set the factor '(1800 + -1x)' equal to zero and attempt to solve: Simplifying 1800 + -1x = 0 Solving 1800 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1800' to each side of the equation. 1800 + -1800 + -1x = 0 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -1x = 0 + -1800 -1x = 0 + -1800 Combine like terms: 0 + -1800 = -1800 -1x = -1800 Divide each side by '-1'. x = 1800 Simplifying x = 1800Solution
x = {28, 1800}
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