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Simplifying r2 + 19r + 93 = 0 Reorder the terms: 93 + 19r + r2 = 0 Solving 93 + 19r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-93' to each side of the equation. 93 + 19r + -93 + r2 = 0 + -93 Reorder the terms: 93 + -93 + 19r + r2 = 0 + -93 Combine like terms: 93 + -93 = 0 0 + 19r + r2 = 0 + -93 19r + r2 = 0 + -93 Combine like terms: 0 + -93 = -93 19r + r2 = -93 The r term is 19r. Take half its coefficient (9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. 19r + 90.25 + r2 = -93 + 90.25 Reorder the terms: 90.25 + 19r + r2 = -93 + 90.25 Combine like terms: -93 + 90.25 = -2.75 90.25 + 19r + r2 = -2.75 Factor a perfect square on the left side: (r + 9.5)(r + 9.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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