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Simplifying X2 + 2X = 168 Reorder the terms: 2X + X2 = 168 Solving 2X + X2 = 168 Solving for variable 'X'. Reorder the terms: -168 + 2X + X2 = 168 + -168 Combine like terms: 168 + -168 = 0 -168 + 2X + X2 = 0 Factor a trinomial. (-14 + -1X)(12 + -1X) = 0Subproblem 1
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 = -14Subproblem 2
Set the factor '(12 + -1X)' equal to zero and attempt to solve: Simplifying 12 + -1X = 0 Solving 12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1X = 0 + -12 -1X = 0 + -12 Combine like terms: 0 + -12 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12Solution
X = {-14, 12}
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