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Simplifying 3w2 + -4w + 150 = 0 Reorder the terms: 150 + -4w + 3w2 = 0 Solving 150 + -4w + 3w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 50 + -1.333333333w + w2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + -1.333333333w + -50 + w2 = 0 + -50 Reorder the terms: 50 + -50 + -1.333333333w + w2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1.333333333w + w2 = 0 + -50 -1.333333333w + w2 = 0 + -50 Combine like terms: 0 + -50 = -50 -1.333333333w + w2 = -50 The w term is -1.333333333w. 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. -1.333333333w + 0.4444444442 + w2 = -50 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333w + w2 = -50 + 0.4444444442 Combine like terms: -50 + 0.4444444442 = -49.5555555558 0.4444444442 + -1.333333333w + w2 = -49.5555555558 Factor a perfect square on the left side: (w + -0.6666666665)(w + -0.6666666665) = -49.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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