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Simplifying 8x2 + 33x + 36 = 0 Reorder the terms: 36 + 33x + 8x2 = 0 Solving 36 + 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'. 4.5 + 4.125x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 4.125x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 4.125x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 4.125x + x2 = 0 + -4.5 4.125x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 4.125x + x2 = -4.5 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 = -4.5 + 4.25390625 Reorder the terms: 4.25390625 + 4.125x + x2 = -4.5 + 4.25390625 Combine like terms: -4.5 + 4.25390625 = -0.24609375 4.25390625 + 4.125x + x2 = -0.24609375 Factor a perfect square on the left side: (x + 2.0625)(x + 2.0625) = -0.24609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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