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Simplifying -60 = 5.13t + 5t2 Solving -60 = 5.13t + 5t2 Solving for variable 't'. Reorder the terms: -60 + -5.13t + -5t2 = 5.13t + -5.13t + 5t2 + -5t2 Combine like terms: 5.13t + -5.13t = 0.00 -60 + -5.13t + -5t2 = 0.00 + 5t2 + -5t2 -60 + -5.13t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -60 + -5.13t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 12 + 1.026t + t2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 1.026t + -12 + t2 = 0 + -12 Reorder the terms: 12 + -12 + 1.026t + t2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1.026t + t2 = 0 + -12 1.026t + t2 = 0 + -12 Combine like terms: 0 + -12 = -12 1.026t + t2 = -12 The t term is 1.026t. Take half its coefficient (0.513). Square it (0.263169) and add it to both sides. Add '0.263169' to each side of the equation. 1.026t + 0.263169 + t2 = -12 + 0.263169 Reorder the terms: 0.263169 + 1.026t + t2 = -12 + 0.263169 Combine like terms: -12 + 0.263169 = -11.736831 0.263169 + 1.026t + t2 = -11.736831 Factor a perfect square on the left side: (t + 0.513)(t + 0.513) = -11.736831 Can't calculate square root of the right side. The solution to this equation could not be determined.
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