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Simplifying r2 + -14r + 39 = -90 Reorder the terms: 39 + -14r + r2 = -90 Solving 39 + -14r + r2 = -90 Solving for variable 'r'. Reorder the terms: 39 + 90 + -14r + r2 = -90 + 90 Combine like terms: 39 + 90 = 129 129 + -14r + r2 = -90 + 90 Combine like terms: -90 + 90 = 0 129 + -14r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-129' to each side of the equation. 129 + -14r + -129 + r2 = 0 + -129 Reorder the terms: 129 + -129 + -14r + r2 = 0 + -129 Combine like terms: 129 + -129 = 0 0 + -14r + r2 = 0 + -129 -14r + r2 = 0 + -129 Combine like terms: 0 + -129 = -129 -14r + r2 = -129 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 = -129 + 49 Reorder the terms: 49 + -14r + r2 = -129 + 49 Combine like terms: -129 + 49 = -80 49 + -14r + r2 = -80 Factor a perfect square on the left side: (r + -7)(r + -7) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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