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Simplifying 3x2 + (-16x) + 24 = 0 Reorder the terms: 24 + (-16x) + 3x2 = 0 Solving 24 + (-16x) + 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'. 8 + (-5.333333333x) + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + (-5.333333333x) + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + (-5.333333333x) + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + (-5.333333333x) + x2 = 0 + -8 (-5.333333333x) + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 (-5.333333333x) + x2 = -8 The x term is (-5.333333333x). Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. (-5.333333333x) + 7.111111113 + x2 = -8 + 7.111111113 Reorder the terms: 7.111111113 + (-5.333333333x) + x2 = -8 + 7.111111113 Combine like terms: -8 + 7.111111113 = -0.888888887 7.111111113 + (-5.333333333x) + x2 = -0.888888887 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -0.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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