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Simplifying (r2) + 4 = -4r + -19 r2 + 4 = -4r + -19 Reorder the terms: 4 + r2 = -4r + -19 Reorder the terms: 4 + r2 = -19 + -4r Solving 4 + r2 = -19 + -4r Solving for variable 'r'. Reorder the terms: 4 + 19 + 4r + r2 = -19 + -4r + 19 + 4r Combine like terms: 4 + 19 = 23 23 + 4r + r2 = -19 + -4r + 19 + 4r Reorder the terms: 23 + 4r + r2 = -19 + 19 + -4r + 4r Combine like terms: -19 + 19 = 0 23 + 4r + r2 = 0 + -4r + 4r 23 + 4r + r2 = -4r + 4r Combine like terms: -4r + 4r = 0 23 + 4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + 4r + -23 + r2 = 0 + -23 Reorder the terms: 23 + -23 + 4r + r2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4r + r2 = 0 + -23 4r + r2 = 0 + -23 Combine like terms: 0 + -23 = -23 4r + r2 = -23 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 = -23 + 4 Reorder the terms: 4 + 4r + r2 = -23 + 4 Combine like terms: -23 + 4 = -19 4 + 4r + r2 = -19 Factor a perfect square on the left side: (r + 2)(r + 2) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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