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Simplifying 4g2 + -12g + 11 = 0 Reorder the terms: 11 + -12g + 4g2 = 0 Solving 11 + -12g + 4g2 = 0 Solving for variable 'g'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -3g + g2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -3g + -2.75 + g2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -3g + g2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -3g + g2 = 0 + -2.75 -3g + g2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -3g + g2 = -2.75 The g term is -3g. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3g + 2.25 + g2 = -2.75 + 2.25 Reorder the terms: 2.25 + -3g + g2 = -2.75 + 2.25 Combine like terms: -2.75 + 2.25 = -0.5 2.25 + -3g + g2 = -0.5 Factor a perfect square on the left side: (g + -1.5)(g + -1.5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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