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Simplifying r2 + -8r + 56 = 0 Reorder the terms: 56 + -8r + r2 = 0 Solving 56 + -8r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -8r + -56 + r2 = 0 + -56 Reorder the terms: 56 + -56 + -8r + r2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8r + r2 = 0 + -56 -8r + r2 = 0 + -56 Combine like terms: 0 + -56 = -56 -8r + r2 = -56 The r term is -8r. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8r + 16 + r2 = -56 + 16 Reorder the terms: 16 + -8r + r2 = -56 + 16 Combine like terms: -56 + 16 = -40 16 + -8r + r2 = -40 Factor a perfect square on the left side: (r + -4)(r + -4) = -40 Can't calculate square root of the right side. The solution to this equation could not be determined.
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