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Simplifying 4r = r2 + 5 Reorder the terms: 4r = 5 + r2 Solving 4r = 5 + r2 Solving for variable 'r'. Reorder the terms: -5 + 4r + -1r2 = 5 + r2 + -5 + -1r2 Reorder the terms: -5 + 4r + -1r2 = 5 + -5 + r2 + -1r2 Combine like terms: 5 + -5 = 0 -5 + 4r + -1r2 = 0 + r2 + -1r2 -5 + 4r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -5 + 4r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -4r + r2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -4r + -5 + r2 = 0 + -5 Reorder the terms: 5 + -5 + -4r + r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4r + r2 = 0 + -5 -4r + r2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4r + r2 = -5 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 = -5 + 4 Reorder the terms: 4 + -4r + r2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + -4r + r2 = -1 Factor a perfect square on the left side: (r + -2)(r + -2) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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