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Simplifying 5t2 + -18t = -120 Reorder the terms: -18t + 5t2 = -120 Solving -18t + 5t2 = -120 Solving for variable 't'. Reorder the terms: 120 + -18t + 5t2 = -120 + 120 Combine like terms: -120 + 120 = 0 120 + -18t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 24 + -3.6t + t2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -3.6t + -24 + t2 = 0 + -24 Reorder the terms: 24 + -24 + -3.6t + t2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3.6t + t2 = 0 + -24 -3.6t + t2 = 0 + -24 Combine like terms: 0 + -24 = -24 -3.6t + t2 = -24 The t term is -3.6t. Take half its coefficient (-1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. -3.6t + 3.24 + t2 = -24 + 3.24 Reorder the terms: 3.24 + -3.6t + t2 = -24 + 3.24 Combine like terms: -24 + 3.24 = -20.76 3.24 + -3.6t + t2 = -20.76 Factor a perfect square on the left side: (t + -1.8)(t + -1.8) = -20.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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