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Simplifying r2 + -12r = -88 Reorder the terms: -12r + r2 = -88 Solving -12r + r2 = -88 Solving for variable 'r'. Reorder the terms: 88 + -12r + r2 = -88 + 88 Combine like terms: -88 + 88 = 0 88 + -12r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-88' to each side of the equation. 88 + -12r + -88 + r2 = 0 + -88 Reorder the terms: 88 + -88 + -12r + r2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -12r + r2 = 0 + -88 -12r + r2 = 0 + -88 Combine like terms: 0 + -88 = -88 -12r + r2 = -88 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 = -88 + 36 Reorder the terms: 36 + -12r + r2 = -88 + 36 Combine like terms: -88 + 36 = -52 36 + -12r + r2 = -52 Factor a perfect square on the left side: (r + -6)(r + -6) = -52 Can't calculate square root of the right side. The solution to this equation could not be determined.
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