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Simplifying r2 + -4r + 91 = 7 Reorder the terms: 91 + -4r + r2 = 7 Solving 91 + -4r + r2 = 7 Solving for variable 'r'. Reorder the terms: 91 + -7 + -4r + r2 = 7 + -7 Combine like terms: 91 + -7 = 84 84 + -4r + r2 = 7 + -7 Combine like terms: 7 + -7 = 0 84 + -4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + -4r + -84 + r2 = 0 + -84 Reorder the terms: 84 + -84 + -4r + r2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -4r + r2 = 0 + -84 -4r + r2 = 0 + -84 Combine like terms: 0 + -84 = -84 -4r + r2 = -84 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 = -84 + 4 Reorder the terms: 4 + -4r + r2 = -84 + 4 Combine like terms: -84 + 4 = -80 4 + -4r + r2 = -80 Factor a perfect square on the left side: (r + -2)(r + -2) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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