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Simplifying 26r = -129 + -1r2 + 5r Reorder the terms: 26r = -129 + 5r + -1r2 Solving 26r = -129 + 5r + -1r2 Solving for variable 'r'. Reorder the terms: 129 + 26r + -5r + r2 = -129 + 5r + -1r2 + 129 + -5r + r2 Combine like terms: 26r + -5r = 21r 129 + 21r + r2 = -129 + 5r + -1r2 + 129 + -5r + r2 Reorder the terms: 129 + 21r + r2 = -129 + 129 + 5r + -5r + -1r2 + r2 Combine like terms: -129 + 129 = 0 129 + 21r + r2 = 0 + 5r + -5r + -1r2 + r2 129 + 21r + r2 = 5r + -5r + -1r2 + r2 Combine like terms: 5r + -5r = 0 129 + 21r + r2 = 0 + -1r2 + r2 129 + 21r + r2 = -1r2 + r2 Combine like terms: -1r2 + r2 = 0 129 + 21r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-129' to each side of the equation. 129 + 21r + -129 + r2 = 0 + -129 Reorder the terms: 129 + -129 + 21r + r2 = 0 + -129 Combine like terms: 129 + -129 = 0 0 + 21r + r2 = 0 + -129 21r + r2 = 0 + -129 Combine like terms: 0 + -129 = -129 21r + r2 = -129 The r term is 21r. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21r + 110.25 + r2 = -129 + 110.25 Reorder the terms: 110.25 + 21r + r2 = -129 + 110.25 Combine like terms: -129 + 110.25 = -18.75 110.25 + 21r + r2 = -18.75 Factor a perfect square on the left side: (r + 10.5)(r + 10.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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