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Simplifying -2X2 + 3X + -24 = 0 Reorder the terms: -24 + 3X + -2X2 = 0 Solving -24 + 3X + -2X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 12 + -1.5X + X2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1.5X + -12 + X2 = 0 + -12 Reorder the terms: 12 + -12 + -1.5X + X2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5X + X2 = 0 + -12 -1.5X + X2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1.5X + X2 = -12 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 = -12 + 0.5625 Reorder the terms: 0.5625 + -1.5X + X2 = -12 + 0.5625 Combine like terms: -12 + 0.5625 = -11.4375 0.5625 + -1.5X + X2 = -11.4375 Factor a perfect square on the left side: (X + -0.75)(X + -0.75) = -11.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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