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Simplifying r2 + 8r + 40 = 0 Reorder the terms: 40 + 8r + r2 = 0 Solving 40 + 8r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 8r + -40 + r2 = 0 + -40 Reorder the terms: 40 + -40 + 8r + r2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8r + r2 = 0 + -40 8r + r2 = 0 + -40 Combine like terms: 0 + -40 = -40 8r + r2 = -40 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 = -40 + 16 Reorder the terms: 16 + 8r + r2 = -40 + 16 Combine like terms: -40 + 16 = -24 16 + 8r + r2 = -24 Factor a perfect square on the left side: (r + 4)(r + 4) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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