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Simplifying 50 = (5 + -3w) * w Reorder the terms for easier multiplication: 50 = w(5 + -3w) 50 = (5 * w + -3w * w) 50 = (5w + -3w2) Solving 50 = 5w + -3w2 Solving for variable 'w'. Reorder the terms: 50 + -5w + 3w2 = 5w + -5w + -3w2 + 3w2 Combine like terms: 5w + -5w = 0 50 + -5w + 3w2 = 0 + -3w2 + 3w2 50 + -5w + 3w2 = -3w2 + 3w2 Combine like terms: -3w2 + 3w2 = 0 50 + -5w + 3w2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16.66666667 + -1.666666667w + w2 = 0 Move the constant term to the right: Add '-16.66666667' to each side of the equation. 16.66666667 + -1.666666667w + -16.66666667 + w2 = 0 + -16.66666667 Reorder the terms: 16.66666667 + -16.66666667 + -1.666666667w + w2 = 0 + -16.66666667 Combine like terms: 16.66666667 + -16.66666667 = 0.00000000 0.00000000 + -1.666666667w + w2 = 0 + -16.66666667 -1.666666667w + w2 = 0 + -16.66666667 Combine like terms: 0 + -16.66666667 = -16.66666667 -1.666666667w + w2 = -16.66666667 The w term is -1.666666667w. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667w + 0.6944444447 + w2 = -16.66666667 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667w + w2 = -16.66666667 + 0.6944444447 Combine like terms: -16.66666667 + 0.6944444447 = -15.9722222253 0.6944444447 + -1.666666667w + w2 = -15.9722222253 Factor a perfect square on the left side: (w + -0.8333333335)(w + -0.8333333335) = -15.9722222253 Can't calculate square root of the right side. The solution to this equation could not be determined.
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