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Simplifying r2 + 10 = -4r Reorder the terms: 10 + r2 = -4r Solving 10 + r2 = -4r Solving for variable 'r'. Reorder the terms: 10 + 4r + r2 = -4r + 4r Combine like terms: -4r + 4r = 0 10 + 4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 4r + -10 + r2 = 0 + -10 Reorder the terms: 10 + -10 + 4r + r2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4r + r2 = 0 + -10 4r + r2 = 0 + -10 Combine like terms: 0 + -10 = -10 4r + r2 = -10 The r term is 4r. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4r + 4 + r2 = -10 + 4 Reorder the terms: 4 + 4r + r2 = -10 + 4 Combine like terms: -10 + 4 = -6 4 + 4r + r2 = -6 Factor a perfect square on the left side: (r + 2)(r + 2) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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