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Simplifying 12r = r2 + 220 Reorder the terms: 12r = 220 + r2 Solving 12r = 220 + r2 Solving for variable 'r'. Reorder the terms: -220 + 12r + -1r2 = 220 + r2 + -220 + -1r2 Reorder the terms: -220 + 12r + -1r2 = 220 + -220 + r2 + -1r2 Combine like terms: 220 + -220 = 0 -220 + 12r + -1r2 = 0 + r2 + -1r2 -220 + 12r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -220 + 12r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 220 + -12r + r2 = 0 Move the constant term to the right: Add '-220' to each side of the equation. 220 + -12r + -220 + r2 = 0 + -220 Reorder the terms: 220 + -220 + -12r + r2 = 0 + -220 Combine like terms: 220 + -220 = 0 0 + -12r + r2 = 0 + -220 -12r + r2 = 0 + -220 Combine like terms: 0 + -220 = -220 -12r + r2 = -220 The r term is -12r. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12r + 36 + r2 = -220 + 36 Reorder the terms: 36 + -12r + r2 = -220 + 36 Combine like terms: -220 + 36 = -184 36 + -12r + r2 = -184 Factor a perfect square on the left side: (r + -6)(r + -6) = -184 Can't calculate square root of the right side. The solution to this equation could not be determined.
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