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Simplifying x2 + -108x + 2187 = 0 Reorder the terms: 2187 + -108x + x2 = 0 Solving 2187 + -108x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (27 + -1x)(81 + -1x) = 0Subproblem 1
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Subproblem 2
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 = 81Solution
x = {27, 81}
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