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Simplifying w2 + -16w + 169 = 16 Reorder the terms: 169 + -16w + w2 = 16 Solving 169 + -16w + w2 = 16 Solving for variable 'w'. Reorder the terms: 169 + -16 + -16w + w2 = 16 + -16 Combine like terms: 169 + -16 = 153 153 + -16w + w2 = 16 + -16 Combine like terms: 16 + -16 = 0 153 + -16w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-153' to each side of the equation. 153 + -16w + -153 + w2 = 0 + -153 Reorder the terms: 153 + -153 + -16w + w2 = 0 + -153 Combine like terms: 153 + -153 = 0 0 + -16w + w2 = 0 + -153 -16w + w2 = 0 + -153 Combine like terms: 0 + -153 = -153 -16w + w2 = -153 The w term is -16w. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16w + 64 + w2 = -153 + 64 Reorder the terms: 64 + -16w + w2 = -153 + 64 Combine like terms: -153 + 64 = -89 64 + -16w + w2 = -89 Factor a perfect square on the left side: (w + -8)(w + -8) = -89 Can't calculate square root of the right side. The solution to this equation could not be determined.
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