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Simplifying r2 + 148 = 12r Reorder the terms: 148 + r2 = 12r Solving 148 + r2 = 12r Solving for variable 'r'. Reorder the terms: 148 + -12r + r2 = 12r + -12r Combine like terms: 12r + -12r = 0 148 + -12r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-148' to each side of the equation. 148 + -12r + -148 + r2 = 0 + -148 Reorder the terms: 148 + -148 + -12r + r2 = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -12r + r2 = 0 + -148 -12r + r2 = 0 + -148 Combine like terms: 0 + -148 = -148 -12r + r2 = -148 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 = -148 + 36 Reorder the terms: 36 + -12r + r2 = -148 + 36 Combine like terms: -148 + 36 = -112 36 + -12r + r2 = -112 Factor a perfect square on the left side: (r + -6)(r + -6) = -112 Can't calculate square root of the right side. The solution to this equation could not be determined.
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