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Simplifying w(w + -6) = -13 Reorder the terms: w(-6 + w) = -13 (-6 * w + w * w) = -13 (-6w + w2) = -13 Solving -6w + w2 = -13 Solving for variable 'w'. Reorder the terms: 13 + -6w + w2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + -6w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -6w + -13 + w2 = 0 + -13 Reorder the terms: 13 + -13 + -6w + w2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6w + w2 = 0 + -13 -6w + w2 = 0 + -13 Combine like terms: 0 + -13 = -13 -6w + w2 = -13 The w term is -6w. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6w + 9 + w2 = -13 + 9 Reorder the terms: 9 + -6w + w2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + -6w + w2 = -4 Factor a perfect square on the left side: (w + -3)(w + -3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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