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Simplifying X(3 + -2X) = 6 (3 * X + -2X * X) = 6 (3X + -2X2) = 6 Solving 3X + -2X2 = 6 Solving for variable 'X'. Reorder the terms: -6 + 3X + -2X2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 3X + -2X2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 3 + -1.5X + X2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.5X + -3 + X2 = 0 + -3 Reorder the terms: 3 + -3 + -1.5X + X2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5X + X2 = 0 + -3 -1.5X + X2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5X + X2 = -3 The X term is -1.5X. 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. -1.5X + 0.5625 + X2 = -3 + 0.5625 Reorder the terms: 0.5625 + -1.5X + X2 = -3 + 0.5625 Combine like terms: -3 + 0.5625 = -2.4375 0.5625 + -1.5X + X2 = -2.4375 Factor a perfect square on the left side: (X + -0.75)(X + -0.75) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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