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Simplifying 0.5(3g + -2) = g2 Reorder the terms: 0.5(-2 + 3g) = g2 (-2 * 0.5 + 3g * 0.5) = g2 (-1 + 1.5g) = g2 Solving -1 + 1.5g = g2 Solving for variable 'g'. Combine like terms: g2 + -1g2 = 0 -1 + 1.5g + -1g2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1 + -1.5g + g2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.5g + -1 + g2 = 0 + -1 Reorder the terms: 1 + -1 + -1.5g + g2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5g + g2 = 0 + -1 -1.5g + g2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.5g + g2 = -1 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 + 0.5625 Reorder the terms: 0.5625 + -1.5g + g2 = -1 + 0.5625 Combine like terms: -1 + 0.5625 = -0.4375 0.5625 + -1.5g + g2 = -0.4375 Factor a perfect square on the left side: (g + -0.75)(g + -0.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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