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Simplifying 3g + -1g(g + -8) = 82 Reorder the terms: 3g + -1g(-8 + g) = 82 3g + (-8 * -1g + g * -1g) = 82 3g + (8g + -1g2) = 82 Combine like terms: 3g + 8g = 11g 11g + -1g2 = 82 Solving 11g + -1g2 = 82 Solving for variable 'g'. Reorder the terms: -82 + 11g + -1g2 = 82 + -82 Combine like terms: 82 + -82 = 0 -82 + 11g + -1g2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 82 + -11g + g2 = 0 Move the constant term to the right: Add '-82' to each side of the equation. 82 + -11g + -82 + g2 = 0 + -82 Reorder the terms: 82 + -82 + -11g + g2 = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -11g + g2 = 0 + -82 -11g + g2 = 0 + -82 Combine like terms: 0 + -82 = -82 -11g + g2 = -82 The g term is -11g. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11g + 30.25 + g2 = -82 + 30.25 Reorder the terms: 30.25 + -11g + g2 = -82 + 30.25 Combine like terms: -82 + 30.25 = -51.75 30.25 + -11g + g2 = -51.75 Factor a perfect square on the left side: (g + -5.5)(g + -5.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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