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Simplifying 4r + -1(r * r) = 21 Multiply r * r 4r + -1(r2) = 21 Solving 4r + -1r2 = 21 Solving for variable 'r'. Reorder the terms: -21 + 4r + -1r2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 4r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 21 + -4r + r2 = 0 Move the constant term to the right: Add '-21' to each side of the equation. 21 + -4r + -21 + r2 = 0 + -21 Reorder the terms: 21 + -21 + -4r + r2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4r + r2 = 0 + -21 -4r + r2 = 0 + -21 Combine like terms: 0 + -21 = -21 -4r + r2 = -21 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 = -21 + 4 Reorder the terms: 4 + -4r + r2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + -4r + r2 = -17 Factor a perfect square on the left side: (r + -2)(r + -2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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