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Simplifying 81 = -12t + -5t2 Solving 81 = -12t + -5t2 Solving for variable 't'. Reorder the terms: 81 + 12t + 5t2 = -12t + 12t + -5t2 + 5t2 Combine like terms: -12t + 12t = 0 81 + 12t + 5t2 = 0 + -5t2 + 5t2 81 + 12t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 81 + 12t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16.2 + 2.4t + t2 = 0 Move the constant term to the right: Add '-16.2' to each side of the equation. 16.2 + 2.4t + -16.2 + t2 = 0 + -16.2 Reorder the terms: 16.2 + -16.2 + 2.4t + t2 = 0 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + 2.4t + t2 = 0 + -16.2 2.4t + t2 = 0 + -16.2 Combine like terms: 0 + -16.2 = -16.2 2.4t + t2 = -16.2 The t term is 2.4t. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4t + 1.44 + t2 = -16.2 + 1.44 Reorder the terms: 1.44 + 2.4t + t2 = -16.2 + 1.44 Combine like terms: -16.2 + 1.44 = -14.76 1.44 + 2.4t + t2 = -14.76 Factor a perfect square on the left side: (t + 1.2)(t + 1.2) = -14.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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