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Simplifying x2 + -130x + 3969 = 0 Reorder the terms: 3969 + -130x + x2 = 0 Solving 3969 + -130x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (49 + -1x)(81 + -1x) = 0Subproblem 1
Set the factor '(49 + -1x)' equal to zero and attempt to solve: Simplifying 49 + -1x = 0 Solving 49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 0 + -49 -1x = 0 + -49 Combine like terms: 0 + -49 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49Subproblem 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 = {49, 81}
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