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Simplifying 3w2 + -185w + 9000 = 0 Reorder the terms: 9000 + -185w + 3w2 = 0 Solving 9000 + -185w + 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'. 3000 + -61.66666667w + w2 = 0 Move the constant term to the right: Add '-3000' to each side of the equation. 3000 + -61.66666667w + -3000 + w2 = 0 + -3000 Reorder the terms: 3000 + -3000 + -61.66666667w + w2 = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -61.66666667w + w2 = 0 + -3000 -61.66666667w + w2 = 0 + -3000 Combine like terms: 0 + -3000 = -3000 -61.66666667w + w2 = -3000 The w term is -61.66666667w. Take half its coefficient (-30.83333334). Square it (950.6944449) and add it to both sides. Add '950.6944449' to each side of the equation. -61.66666667w + 950.6944449 + w2 = -3000 + 950.6944449 Reorder the terms: 950.6944449 + -61.66666667w + w2 = -3000 + 950.6944449 Combine like terms: -3000 + 950.6944449 = -2049.3055551 950.6944449 + -61.66666667w + w2 = -2049.3055551 Factor a perfect square on the left side: (w + -30.83333334)(w + -30.83333334) = -2049.3055551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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