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Simplifying 6g2 + 9g + 8 = 0 Reorder the terms: 8 + 9g + 6g2 = 0 Solving 8 + 9g + 6g2 = 0 Solving for variable 'g'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.333333333 + 1.5g + g2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.5g + -1.333333333 + g2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.5g + g2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.5g + g2 = 0 + -1.333333333 1.5g + g2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.5g + g2 = -1.333333333 The g term is 1.5g. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5g + 0.5625 + g2 = -1.333333333 + 0.5625 Reorder the terms: 0.5625 + 1.5g + g2 = -1.333333333 + 0.5625 Combine like terms: -1.333333333 + 0.5625 = -0.770833333 0.5625 + 1.5g + g2 = -0.770833333 Factor a perfect square on the left side: (g + 0.75)(g + 0.75) = -0.770833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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