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Simplifying 3x2 = -4x + -119 Reorder the terms: 3x2 = -119 + -4x Solving 3x2 = -119 + -4x Solving for variable 'x'. Reorder the terms: 119 + 4x + 3x2 = -119 + -4x + 119 + 4x Reorder the terms: 119 + 4x + 3x2 = -119 + 119 + -4x + 4x Combine like terms: -119 + 119 = 0 119 + 4x + 3x2 = 0 + -4x + 4x 119 + 4x + 3x2 = -4x + 4x Combine like terms: -4x + 4x = 0 119 + 4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 39.66666667 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-39.66666667' to each side of the equation. 39.66666667 + 1.333333333x + -39.66666667 + x2 = 0 + -39.66666667 Reorder the terms: 39.66666667 + -39.66666667 + 1.333333333x + x2 = 0 + -39.66666667 Combine like terms: 39.66666667 + -39.66666667 = 0.00000000 0.00000000 + 1.333333333x + x2 = 0 + -39.66666667 1.333333333x + x2 = 0 + -39.66666667 Combine like terms: 0 + -39.66666667 = -39.66666667 1.333333333x + x2 = -39.66666667 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 = -39.66666667 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -39.66666667 + 0.4444444442 Combine like terms: -39.66666667 + 0.4444444442 = -39.2222222258 0.4444444442 + 1.333333333x + x2 = -39.2222222258 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -39.2222222258 Can't calculate square root of the right side. The solution to this equation could not be determined.
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