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Simplifying -1r2 + -4r = -5r + 48 Reorder the terms: -4r + -1r2 = -5r + 48 Reorder the terms: -4r + -1r2 = 48 + -5r Solving -4r + -1r2 = 48 + -5r Solving for variable 'r'. Reorder the terms: -48 + -4r + 5r + -1r2 = 48 + -5r + -48 + 5r Combine like terms: -4r + 5r = 1r -48 + 1r + -1r2 = 48 + -5r + -48 + 5r Reorder the terms: -48 + 1r + -1r2 = 48 + -48 + -5r + 5r Combine like terms: 48 + -48 = 0 -48 + 1r + -1r2 = 0 + -5r + 5r -48 + 1r + -1r2 = -5r + 5r Combine like terms: -5r + 5r = 0 -48 + 1r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 48 + -1r + r2 = 0 Move the constant term to the right: Add '-48' to each side of the equation. 48 + -1r + -48 + r2 = 0 + -48 Reorder the terms: 48 + -48 + -1r + r2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1r + r2 = 0 + -48 -1r + r2 = 0 + -48 Combine like terms: 0 + -48 = -48 -1r + r2 = -48 The r term is -1r. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1r + 0.25 + r2 = -48 + 0.25 Reorder the terms: 0.25 + -1r + r2 = -48 + 0.25 Combine like terms: -48 + 0.25 = -47.75 0.25 + -1r + r2 = -47.75 Factor a perfect square on the left side: (r + -0.5)(r + -0.5) = -47.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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