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Simplifying 80 = X(9 + -1X) 80 = (9 * X + -1X * X) 80 = (9X + -1X2) Solving 80 = 9X + -1X2 Solving for variable 'X'. Reorder the terms: 80 + -9X + X2 = 9X + -9X + -1X2 + X2 Combine like terms: 9X + -9X = 0 80 + -9X + X2 = 0 + -1X2 + X2 80 + -9X + X2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 80 + -9X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + -9X + -80 + X2 = 0 + -80 Reorder the terms: 80 + -80 + -9X + X2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -9X + X2 = 0 + -80 -9X + X2 = 0 + -80 Combine like terms: 0 + -80 = -80 -9X + X2 = -80 The X term is -9X. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9X + 20.25 + X2 = -80 + 20.25 Reorder the terms: 20.25 + -9X + X2 = -80 + 20.25 Combine like terms: -80 + 20.25 = -59.75 20.25 + -9X + X2 = -59.75 Factor a perfect square on the left side: (X + -4.5)(X + -4.5) = -59.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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