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Simplifying r2 + -16r + 64 = -7 Reorder the terms: 64 + -16r + r2 = -7 Solving 64 + -16r + r2 = -7 Solving for variable 'r'. Reorder the terms: 64 + 7 + -16r + r2 = -7 + 7 Combine like terms: 64 + 7 = 71 71 + -16r + r2 = -7 + 7 Combine like terms: -7 + 7 = 0 71 + -16r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-71' to each side of the equation. 71 + -16r + -71 + r2 = 0 + -71 Reorder the terms: 71 + -71 + -16r + r2 = 0 + -71 Combine like terms: 71 + -71 = 0 0 + -16r + r2 = 0 + -71 -16r + r2 = 0 + -71 Combine like terms: 0 + -71 = -71 -16r + r2 = -71 The r term is -16r. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16r + 64 + r2 = -71 + 64 Reorder the terms: 64 + -16r + r2 = -71 + 64 Combine like terms: -71 + 64 = -7 64 + -16r + r2 = -7 Factor a perfect square on the left side: (r + -8)(r + -8) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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