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Simplifying 200 = 8t + -5t2 Solving 200 = 8t + -5t2 Solving for variable 't'. Reorder the terms: 200 + -8t + 5t2 = 8t + -8t + -5t2 + 5t2 Combine like terms: 8t + -8t = 0 200 + -8t + 5t2 = 0 + -5t2 + 5t2 200 + -8t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 200 + -8t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 40 + -1.6t + t2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -1.6t + -40 + t2 = 0 + -40 Reorder the terms: 40 + -40 + -1.6t + t2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1.6t + t2 = 0 + -40 -1.6t + t2 = 0 + -40 Combine like terms: 0 + -40 = -40 -1.6t + t2 = -40 The t term is -1.6t. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6t + 0.64 + t2 = -40 + 0.64 Reorder the terms: 0.64 + -1.6t + t2 = -40 + 0.64 Combine like terms: -40 + 0.64 = -39.36 0.64 + -1.6t + t2 = -39.36 Factor a perfect square on the left side: (t + -0.8)(t + -0.8) = -39.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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