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Simplifying -2x2 + 7x + 1 = 18 Reorder the terms: 1 + 7x + -2x2 = 18 Solving 1 + 7x + -2x2 = 18 Solving for variable 'x'. Reorder the terms: 1 + -18 + 7x + -2x2 = 18 + -18 Combine like terms: 1 + -18 = -17 -17 + 7x + -2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -17 + 7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 8.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '-8.5' to each side of the equation. 8.5 + -3.5x + -8.5 + x2 = 0 + -8.5 Reorder the terms: 8.5 + -8.5 + -3.5x + x2 = 0 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -3.5x + x2 = 0 + -8.5 -3.5x + x2 = 0 + -8.5 Combine like terms: 0 + -8.5 = -8.5 -3.5x + x2 = -8.5 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -8.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -8.5 + 3.0625 Combine like terms: -8.5 + 3.0625 = -5.4375 3.0625 + -3.5x + x2 = -5.4375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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