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Simplifying 8t2 + 61t = -120 Reorder the terms: 61t + 8t2 = -120 Solving 61t + 8t2 = -120 Solving for variable 't'. Reorder the terms: 120 + 61t + 8t2 = -120 + 120 Combine like terms: -120 + 120 = 0 120 + 61t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 15 + 7.625t + t2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 7.625t + -15 + t2 = 0 + -15 Reorder the terms: 15 + -15 + 7.625t + t2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7.625t + t2 = 0 + -15 7.625t + t2 = 0 + -15 Combine like terms: 0 + -15 = -15 7.625t + t2 = -15 The t term is 7.625t. Take half its coefficient (3.8125). Square it (14.53515625) and add it to both sides. Add '14.53515625' to each side of the equation. 7.625t + 14.53515625 + t2 = -15 + 14.53515625 Reorder the terms: 14.53515625 + 7.625t + t2 = -15 + 14.53515625 Combine like terms: -15 + 14.53515625 = -0.46484375 14.53515625 + 7.625t + t2 = -0.46484375 Factor a perfect square on the left side: (t + 3.8125)(t + 3.8125) = -0.46484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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