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Simplifying 2x2 + 17x + 64 = 0 Reorder the terms: 64 + 17x + 2x2 = 0 Solving 64 + 17x + 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'. 32 + 8.5x + x2 = 0 Move the constant term to the right: Add '-32' to each side of the equation. 32 + 8.5x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 8.5x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8.5x + x2 = 0 + -32 8.5x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 8.5x + x2 = -32 The x term is 8.5x. Take half its coefficient (4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. 8.5x + 18.0625 + x2 = -32 + 18.0625 Reorder the terms: 18.0625 + 8.5x + x2 = -32 + 18.0625 Combine like terms: -32 + 18.0625 = -13.9375 18.0625 + 8.5x + x2 = -13.9375 Factor a perfect square on the left side: (x + 4.25)(x + 4.25) = -13.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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