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Simplifying 2w2 + 7w + 22 + w2 + 36 = 0 Reorder the terms: 22 + 36 + 7w + 2w2 + w2 = 0 Combine like terms: 22 + 36 = 58 58 + 7w + 2w2 + w2 = 0 Combine like terms: 2w2 + w2 = 3w2 58 + 7w + 3w2 = 0 Solving 58 + 7w + 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'. 19.33333333 + 2.333333333w + w2 = 0 Move the constant term to the right: Add '-19.33333333' to each side of the equation. 19.33333333 + 2.333333333w + -19.33333333 + w2 = 0 + -19.33333333 Reorder the terms: 19.33333333 + -19.33333333 + 2.333333333w + w2 = 0 + -19.33333333 Combine like terms: 19.33333333 + -19.33333333 = 0.00000000 0.00000000 + 2.333333333w + w2 = 0 + -19.33333333 2.333333333w + w2 = 0 + -19.33333333 Combine like terms: 0 + -19.33333333 = -19.33333333 2.333333333w + w2 = -19.33333333 The w term is 2.333333333w. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333w + 1.361111112 + w2 = -19.33333333 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333w + w2 = -19.33333333 + 1.361111112 Combine like terms: -19.33333333 + 1.361111112 = -17.972222218 1.361111112 + 2.333333333w + w2 = -17.972222218 Factor a perfect square on the left side: (w + 1.166666667)(w + 1.166666667) = -17.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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