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Simplifying -3X2 + 9X + -8 = 0 Reorder the terms: -8 + 9X + -3X2 = 0 Solving -8 + 9X + -3X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2.666666667 + -3X + X2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + -3X + -2.666666667 + X2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + -3X + X2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + -3X + X2 = 0 + -2.666666667 -3X + X2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 -3X + X2 = -2.666666667 The X term is -3X. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3X + 2.25 + X2 = -2.666666667 + 2.25 Reorder the terms: 2.25 + -3X + X2 = -2.666666667 + 2.25 Combine like terms: -2.666666667 + 2.25 = -0.416666667 2.25 + -3X + X2 = -0.416666667 Factor a perfect square on the left side: (X + -1.5)(X + -1.5) = -0.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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