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Simplifying x2 + -202x + 9801 = 0 Reorder the terms: 9801 + -202x + x2 = 0 Solving 9801 + -202x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (81 + -1x)(121 + -1x) = 0Subproblem 1
Set the factor '(81 + -1x)' equal to zero and attempt to solve: Simplifying 81 + -1x = 0 Solving 81 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -1x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 0 + -81 -1x = 0 + -81 Combine like terms: 0 + -81 = -81 -1x = -81 Divide each side by '-1'. x = 81 Simplifying x = 81Subproblem 2
Set the factor '(121 + -1x)' equal to zero and attempt to solve: Simplifying 121 + -1x = 0 Solving 121 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + -1x = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -1x = 0 + -121 -1x = 0 + -121 Combine like terms: 0 + -121 = -121 -1x = -121 Divide each side by '-1'. x = 121 Simplifying x = 121Solution
x = {81, 121}
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