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Simplifying 7w2 + -30w + 125 = 0 Reorder the terms: 125 + -30w + 7w2 = 0 Solving 125 + -30w + 7w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 17.85714286 + -4.285714286w + w2 = 0 Move the constant term to the right: Add '-17.85714286' to each side of the equation. 17.85714286 + -4.285714286w + -17.85714286 + w2 = 0 + -17.85714286 Reorder the terms: 17.85714286 + -17.85714286 + -4.285714286w + w2 = 0 + -17.85714286 Combine like terms: 17.85714286 + -17.85714286 = 0.00000000 0.00000000 + -4.285714286w + w2 = 0 + -17.85714286 -4.285714286w + w2 = 0 + -17.85714286 Combine like terms: 0 + -17.85714286 = -17.85714286 -4.285714286w + w2 = -17.85714286 The w term is -4.285714286w. Take half its coefficient (-2.142857143). Square it (4.591836735) and add it to both sides. Add '4.591836735' to each side of the equation. -4.285714286w + 4.591836735 + w2 = -17.85714286 + 4.591836735 Reorder the terms: 4.591836735 + -4.285714286w + w2 = -17.85714286 + 4.591836735 Combine like terms: -17.85714286 + 4.591836735 = -13.265306125 4.591836735 + -4.285714286w + w2 = -13.265306125 Factor a perfect square on the left side: (w + -2.142857143)(w + -2.142857143) = -13.265306125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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