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Simplifying 8x2 + 33x + 80 = 0 Reorder the terms: 80 + 33x + 8x2 = 0 Solving 80 + 33x + 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'. 10 + 4.125x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 4.125x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 4.125x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4.125x + x2 = 0 + -10 4.125x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 4.125x + x2 = -10 The x term is 4.125x. Take half its coefficient (2.0625). Square it (4.25390625) and add it to both sides. Add '4.25390625' to each side of the equation. 4.125x + 4.25390625 + x2 = -10 + 4.25390625 Reorder the terms: 4.25390625 + 4.125x + x2 = -10 + 4.25390625 Combine like terms: -10 + 4.25390625 = -5.74609375 4.25390625 + 4.125x + x2 = -5.74609375 Factor a perfect square on the left side: (x + 2.0625)(x + 2.0625) = -5.74609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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