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Simplifying 0 = g2 + -6g + 12 Reorder the terms: 0 = 12 + -6g + g2 Solving 0 = 12 + -6g + g2 Solving for variable 'g'. Combine like terms: 0 + -12 = -12 -12 + 6g + -1g2 = 12 + -6g + g2 + -12 + 6g + -1g2 Reorder the terms: -12 + 6g + -1g2 = 12 + -12 + -6g + 6g + g2 + -1g2 Combine like terms: 12 + -12 = 0 -12 + 6g + -1g2 = 0 + -6g + 6g + g2 + -1g2 -12 + 6g + -1g2 = -6g + 6g + g2 + -1g2 Combine like terms: -6g + 6g = 0 -12 + 6g + -1g2 = 0 + g2 + -1g2 -12 + 6g + -1g2 = g2 + -1g2 Combine like terms: g2 + -1g2 = 0 -12 + 6g + -1g2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 12 + -6g + g2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6g + -12 + g2 = 0 + -12 Reorder the terms: 12 + -12 + -6g + g2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6g + g2 = 0 + -12 -6g + g2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6g + g2 = -12 The g term is -6g. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6g + 9 + g2 = -12 + 9 Reorder the terms: 9 + -6g + g2 = -12 + 9 Combine like terms: -12 + 9 = -3 9 + -6g + g2 = -3 Factor a perfect square on the left side: (g + -3)(g + -3) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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