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Simplifying r2 = -15 + -8r + -10 Reorder the terms: r2 = -15 + -10 + -8r Combine like terms: -15 + -10 = -25 r2 = -25 + -8r Solving r2 = -25 + -8r Solving for variable 'r'. Reorder the terms: 25 + 8r + r2 = -25 + -8r + 25 + 8r Reorder the terms: 25 + 8r + r2 = -25 + 25 + -8r + 8r Combine like terms: -25 + 25 = 0 25 + 8r + r2 = 0 + -8r + 8r 25 + 8r + r2 = -8r + 8r Combine like terms: -8r + 8r = 0 25 + 8r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 8r + -25 + r2 = 0 + -25 Reorder the terms: 25 + -25 + 8r + r2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8r + r2 = 0 + -25 8r + r2 = 0 + -25 Combine like terms: 0 + -25 = -25 8r + r2 = -25 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 = -25 + 16 Reorder the terms: 16 + 8r + r2 = -25 + 16 Combine like terms: -25 + 16 = -9 16 + 8r + r2 = -9 Factor a perfect square on the left side: (r + 4)(r + 4) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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