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Simplifying 5g + -16 = g(4g + -4) Reorder the terms: -16 + 5g = g(4g + -4) Reorder the terms: -16 + 5g = g(-4 + 4g) -16 + 5g = (-4 * g + 4g * g) -16 + 5g = (-4g + 4g2) Solving -16 + 5g = -4g + 4g2 Solving for variable 'g'. Combine like terms: 5g + 4g = 9g -16 + 9g + -4g2 = -4g + 4g2 + 4g + -4g2 Reorder the terms: -16 + 9g + -4g2 = -4g + 4g + 4g2 + -4g2 Combine like terms: -4g + 4g = 0 -16 + 9g + -4g2 = 0 + 4g2 + -4g2 -16 + 9g + -4g2 = 4g2 + -4g2 Combine like terms: 4g2 + -4g2 = 0 -16 + 9g + -4g2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 4 + -2.25g + g2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.25g + -4 + g2 = 0 + -4 Reorder the terms: 4 + -4 + -2.25g + g2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.25g + g2 = 0 + -4 -2.25g + g2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.25g + g2 = -4 The g term is -2.25g. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25g + 1.265625 + g2 = -4 + 1.265625 Reorder the terms: 1.265625 + -2.25g + g2 = -4 + 1.265625 Combine like terms: -4 + 1.265625 = -2.734375 1.265625 + -2.25g + g2 = -2.734375 Factor a perfect square on the left side: (g + -1.125)(g + -1.125) = -2.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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