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Simplifying 2X2 + X = 351 Reorder the terms: X + 2X2 = 351 Solving X + 2X2 = 351 Solving for variable 'X'. Reorder the terms: -351 + X + 2X2 = 351 + -351 Combine like terms: 351 + -351 = 0 -351 + X + 2X2 = 0 Factor a trinomial. (-27 + -2X)(13 + -1X) = 0Subproblem 1
Set the factor '(-27 + -2X)' equal to zero and attempt to solve: Simplifying -27 + -2X = 0 Solving -27 + -2X = 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 + -2X = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2X = 0 + 27 -2X = 0 + 27 Combine like terms: 0 + 27 = 27 -2X = 27 Divide each side by '-2'. X = -13.5 Simplifying X = -13.5Subproblem 2
Set the factor '(13 + -1X)' equal to zero and attempt to solve: Simplifying 13 + -1X = 0 Solving 13 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1X = 0 + -13 -1X = 0 + -13 Combine like terms: 0 + -13 = -13 -1X = -13 Divide each side by '-1'. X = 13 Simplifying X = 13Solution
X = {-13.5, 13}
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