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Simplifying 4.9t2 + -24.5t + 196 = 0 Reorder the terms: 196 + -24.5t + 4.9t2 = 0 Solving 196 + -24.5t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 40 + -5t + t2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -5t + -40 + t2 = 0 + -40 Reorder the terms: 40 + -40 + -5t + t2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5t + t2 = 0 + -40 -5t + t2 = 0 + -40 Combine like terms: 0 + -40 = -40 -5t + t2 = -40 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -40 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -40 + 6.25 Combine like terms: -40 + 6.25 = -33.75 6.25 + -5t + t2 = -33.75 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -33.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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