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Simplifying x2 + -6x + -11655 = 0 Reorder the terms: -11655 + -6x + x2 = 0 Solving -11655 + -6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-105 + -1x)(111 + -1x) = 0Subproblem 1
Set the factor '(-105 + -1x)' equal to zero and attempt to solve: Simplifying -105 + -1x = 0 Solving -105 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + -1x = 0 + 105 Combine like terms: -105 + 105 = 0 0 + -1x = 0 + 105 -1x = 0 + 105 Combine like terms: 0 + 105 = 105 -1x = 105 Divide each side by '-1'. x = -105 Simplifying x = -105Subproblem 2
Set the factor '(111 + -1x)' equal to zero and attempt to solve: Simplifying 111 + -1x = 0 Solving 111 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-111' to each side of the equation. 111 + -111 + -1x = 0 + -111 Combine like terms: 111 + -111 = 0 0 + -1x = 0 + -111 -1x = 0 + -111 Combine like terms: 0 + -111 = -111 -1x = -111 Divide each side by '-1'. x = 111 Simplifying x = 111Solution
x = {-105, 111}
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