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Simplifying r2 + -14r + 65 = 0 Reorder the terms: 65 + -14r + r2 = 0 Solving 65 + -14r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-65' to each side of the equation. 65 + -14r + -65 + r2 = 0 + -65 Reorder the terms: 65 + -65 + -14r + r2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -14r + r2 = 0 + -65 -14r + r2 = 0 + -65 Combine like terms: 0 + -65 = -65 -14r + r2 = -65 The r term is -14r. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14r + 49 + r2 = -65 + 49 Reorder the terms: 49 + -14r + r2 = -65 + 49 Combine like terms: -65 + 49 = -16 49 + -14r + r2 = -16 Factor a perfect square on the left side: (r + -7)(r + -7) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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