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Simplifying x2 + -54x + 728 = 0 Reorder the terms: 728 + -54x + x2 = 0 Solving 728 + -54x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (26 + -1x)(28 + -1x) = 0Subproblem 1
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Subproblem 2
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 = 28Solution
x = {26, 28}
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