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Simplifying 24.5t + -49t2 = 19.6 Solving 24.5t + -49t2 = 19.6 Solving for variable 't'. Reorder the terms: -19.6 + 24.5t + -49t2 = 19.6 + -19.6 Combine like terms: 19.6 + -19.6 = 0.0 -19.6 + 24.5t + -49t2 = 0.0 Begin completing the square. Divide all terms by -49 the coefficient of the squared term: Divide each side by '-49'. 0.4 + -0.5t + t2 = 0.0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.5t + -0.4 + t2 = 0.0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.5t + t2 = 0.0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.5t + t2 = 0.0 + -0.4 -0.5t + t2 = 0.0 + -0.4 Combine like terms: 0.0 + -0.4 = -0.4 -0.5t + t2 = -0.4 The t term is -0.5t. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5t + 0.0625 + t2 = -0.4 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -0.4 + 0.0625 Combine like terms: -0.4 + 0.0625 = -0.3375 0.0625 + -0.5t + t2 = -0.3375 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -0.3375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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