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Simplifying x2 + -6x + 9 = 121 Reorder the terms: 9 + -6x + x2 = 121 Solving 9 + -6x + x2 = 121 Solving for variable 'x'. Reorder the terms: 9 + -121 + -6x + x2 = 121 + -121 Combine like terms: 9 + -121 = -112 -112 + -6x + x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -112 + -6x + x2 = 0 Factor a trinomial. (-8 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-8, 14}
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