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Simplifying 5t2 + 8t + 50 = 0 Reorder the terms: 50 + 8t + 5t2 = 0 Solving 50 + 8t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 10 + 1.6t + t2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 1.6t + -10 + t2 = 0 + -10 Reorder the terms: 10 + -10 + 1.6t + t2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1.6t + t2 = 0 + -10 1.6t + t2 = 0 + -10 Combine like terms: 0 + -10 = -10 1.6t + t2 = -10 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 = -10 + 0.64 Reorder the terms: 0.64 + 1.6t + t2 = -10 + 0.64 Combine like terms: -10 + 0.64 = -9.36 0.64 + 1.6t + t2 = -9.36 Factor a perfect square on the left side: (t + 0.8)(t + 0.8) = -9.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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