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Simplifying 8x2 + 21x + 22 = 0 Reorder the terms: 22 + 21x + 8x2 = 0 Solving 22 + 21x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.75 + 2.625x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + 2.625x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + 2.625x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + 2.625x + x2 = 0 + -2.75 2.625x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 2.625x + x2 = -2.75 The x term is 2.625x. Take half its coefficient (1.3125). Square it (1.72265625) and add it to both sides. Add '1.72265625' to each side of the equation. 2.625x + 1.72265625 + x2 = -2.75 + 1.72265625 Reorder the terms: 1.72265625 + 2.625x + x2 = -2.75 + 1.72265625 Combine like terms: -2.75 + 1.72265625 = -1.02734375 1.72265625 + 2.625x + x2 = -1.02734375 Factor a perfect square on the left side: (x + 1.3125)(x + 1.3125) = -1.02734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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