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Simplifying 0 = -4.9t2 + 25t + -45 Reorder the terms: 0 = -45 + 25t + -4.9t2 Solving 0 = -45 + 25t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + 45 = 45 45 + -25t + 4.9t2 = -45 + 25t + -4.9t2 + 45 + -25t + 4.9t2 Reorder the terms: 45 + -25t + 4.9t2 = -45 + 45 + 25t + -25t + -4.9t2 + 4.9t2 Combine like terms: -45 + 45 = 0 45 + -25t + 4.9t2 = 0 + 25t + -25t + -4.9t2 + 4.9t2 45 + -25t + 4.9t2 = 25t + -25t + -4.9t2 + 4.9t2 Combine like terms: 25t + -25t = 0 45 + -25t + 4.9t2 = 0 + -4.9t2 + 4.9t2 45 + -25t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 45 + -25t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 9.183673469 + -5.102040816t + t2 = 0 Move the constant term to the right: Add '-9.183673469' to each side of the equation. 9.183673469 + -5.102040816t + -9.183673469 + t2 = 0 + -9.183673469 Reorder the terms: 9.183673469 + -9.183673469 + -5.102040816t + t2 = 0 + -9.183673469 Combine like terms: 9.183673469 + -9.183673469 = 0.000000000 0.000000000 + -5.102040816t + t2 = 0 + -9.183673469 -5.102040816t + t2 = 0 + -9.183673469 Combine like terms: 0 + -9.183673469 = -9.183673469 -5.102040816t + t2 = -9.183673469 The t term is -5.102040816t. Take half its coefficient (-2.551020408). Square it (6.507705122) and add it to both sides. Add '6.507705122' to each side of the equation. -5.102040816t + 6.507705122 + t2 = -9.183673469 + 6.507705122 Reorder the terms: 6.507705122 + -5.102040816t + t2 = -9.183673469 + 6.507705122 Combine like terms: -9.183673469 + 6.507705122 = -2.675968347 6.507705122 + -5.102040816t + t2 = -2.675968347 Factor a perfect square on the left side: (t + -2.551020408)(t + -2.551020408) = -2.675968347 Can't calculate square root of the right side. The solution to this equation could not be determined.
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