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Simplifying 400 = -5t2 + 8t Reorder the terms: 400 = 8t + -5t2 Solving 400 = 8t + -5t2 Solving for variable 't'. Reorder the terms: 400 + -8t + 5t2 = 8t + -8t + -5t2 + 5t2 Combine like terms: 8t + -8t = 0 400 + -8t + 5t2 = 0 + -5t2 + 5t2 400 + -8t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 400 + -8t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 80 + -1.6t + t2 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -1.6t + -80 + t2 = 0 + -80 Reorder the terms: 80 + -80 + -1.6t + t2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1.6t + t2 = 0 + -80 -1.6t + t2 = 0 + -80 Combine like terms: 0 + -80 = -80 -1.6t + t2 = -80 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 = -80 + 0.64 Reorder the terms: 0.64 + -1.6t + t2 = -80 + 0.64 Combine like terms: -80 + 0.64 = -79.36 0.64 + -1.6t + t2 = -79.36 Factor a perfect square on the left side: (t + -0.8)(t + -0.8) = -79.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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