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Simplifying 12x2 + -16x + 77 = 0 Reorder the terms: 77 + -16x + 12x2 = 0 Solving 77 + -16x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 6.416666667 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-6.416666667' to each side of the equation. 6.416666667 + -1.333333333x + -6.416666667 + x2 = 0 + -6.416666667 Reorder the terms: 6.416666667 + -6.416666667 + -1.333333333x + x2 = 0 + -6.416666667 Combine like terms: 6.416666667 + -6.416666667 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -6.416666667 -1.333333333x + x2 = 0 + -6.416666667 Combine like terms: 0 + -6.416666667 = -6.416666667 -1.333333333x + x2 = -6.416666667 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -6.416666667 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -6.416666667 + 0.4444444442 Combine like terms: -6.416666667 + 0.4444444442 = -5.9722222228 0.4444444442 + -1.333333333x + x2 = -5.9722222228 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -5.9722222228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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