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Simplifying w2 = 6(w + -5) Reorder the terms: w2 = 6(-5 + w) w2 = (-5 * 6 + w * 6) w2 = (-30 + 6w) Solving w2 = -30 + 6w Solving for variable 'w'. Reorder the terms: 30 + -6w + w2 = -30 + 6w + 30 + -6w Reorder the terms: 30 + -6w + w2 = -30 + 30 + 6w + -6w Combine like terms: -30 + 30 = 0 30 + -6w + w2 = 0 + 6w + -6w 30 + -6w + w2 = 6w + -6w Combine like terms: 6w + -6w = 0 30 + -6w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -6w + -30 + w2 = 0 + -30 Reorder the terms: 30 + -30 + -6w + w2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6w + w2 = 0 + -30 -6w + w2 = 0 + -30 Combine like terms: 0 + -30 = -30 -6w + w2 = -30 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 = -30 + 9 Reorder the terms: 9 + -6w + w2 = -30 + 9 Combine like terms: -30 + 9 = -21 9 + -6w + w2 = -21 Factor a perfect square on the left side: (w + -3)(w + -3) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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