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Simplifying -1g2 + 4g + -5 = 0 Reorder the terms: -5 + 4g + -1g2 = 0 Solving -5 + 4g + -1g2 = 0 Solving for variable 'g'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -4g + g2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -4g + -5 + g2 = 0 + -5 Reorder the terms: 5 + -5 + -4g + g2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4g + g2 = 0 + -5 -4g + g2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4g + g2 = -5 The g term is -4g. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4g + 4 + g2 = -5 + 4 Reorder the terms: 4 + -4g + g2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + -4g + g2 = -1 Factor a perfect square on the left side: (g + -2)(g + -2) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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