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Simplifying 1.25t2 + 2.1t + 50.0 = 0 Reorder the terms: 50.0 + 2.1t + 1.25t2 = 0 Solving 50.0 + 2.1t + 1.25t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 1.25 the coefficient of the squared term: Divide each side by '1.25'. 40 + 1.68t + t2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + 1.68t + -40 + t2 = 0 + -40 Reorder the terms: 40 + -40 + 1.68t + t2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1.68t + t2 = 0 + -40 1.68t + t2 = 0 + -40 Combine like terms: 0 + -40 = -40 1.68t + t2 = -40 The t term is 1.68t. Take half its coefficient (0.84). Square it (0.7056) and add it to both sides. Add '0.7056' to each side of the equation. 1.68t + 0.7056 + t2 = -40 + 0.7056 Reorder the terms: 0.7056 + 1.68t + t2 = -40 + 0.7056 Combine like terms: -40 + 0.7056 = -39.2944 0.7056 + 1.68t + t2 = -39.2944 Factor a perfect square on the left side: (t + 0.84)(t + 0.84) = -39.2944 Can't calculate square root of the right side. The solution to this equation could not be determined.
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