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Simplifying 3r2 + 16r + 120 = 0 Reorder the terms: 120 + 16r + 3r2 = 0 Solving 120 + 16r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 40 + 5.333333333r + r2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + 5.333333333r + -40 + r2 = 0 + -40 Reorder the terms: 40 + -40 + 5.333333333r + r2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5.333333333r + r2 = 0 + -40 5.333333333r + r2 = 0 + -40 Combine like terms: 0 + -40 = -40 5.333333333r + r2 = -40 The r term is 5.333333333r. Take half its coefficient (2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. 5.333333333r + 7.111111113 + r2 = -40 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333r + r2 = -40 + 7.111111113 Combine like terms: -40 + 7.111111113 = -32.888888887 7.111111113 + 5.333333333r + r2 = -32.888888887 Factor a perfect square on the left side: (r + 2.666666667)(r + 2.666666667) = -32.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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