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Simplifying -2x2 + 27x + -168 = 0 Reorder the terms: -168 + 27x + -2x2 = 0 Solving -168 + 27x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 84 + -13.5x + x2 = 0 Move the constant term to the right: Add '-84' to each side of the equation. 84 + -13.5x + -84 + x2 = 0 + -84 Reorder the terms: 84 + -84 + -13.5x + x2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -13.5x + x2 = 0 + -84 -13.5x + x2 = 0 + -84 Combine like terms: 0 + -84 = -84 -13.5x + x2 = -84 The x term is -13.5x. Take half its coefficient (-6.75). Square it (45.5625) and add it to both sides. Add '45.5625' to each side of the equation. -13.5x + 45.5625 + x2 = -84 + 45.5625 Reorder the terms: 45.5625 + -13.5x + x2 = -84 + 45.5625 Combine like terms: -84 + 45.5625 = -38.4375 45.5625 + -13.5x + x2 = -38.4375 Factor a perfect square on the left side: (x + -6.75)(x + -6.75) = -38.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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