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Simplifying 6x2 + 3x + 8 = 0 Reorder the terms: 8 + 3x + 6x2 = 0 Solving 8 + 3x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.333333333 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 0.5x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 0.5x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 0.5x + x2 = 0 + -1.333333333 0.5x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 0.5x + x2 = -1.333333333 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -1.333333333 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -1.333333333 + 0.0625 Combine like terms: -1.333333333 + 0.0625 = -1.270833333 0.0625 + 0.5x + x2 = -1.270833333 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -1.270833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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