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Simplifying 45 = 10t + -4.9t2 Solving 45 = 10t + -4.9t2 Solving for variable 't'. Reorder the terms: 45 + -10t + 4.9t2 = 10t + -10t + -4.9t2 + 4.9t2 Combine like terms: 10t + -10t = 0 45 + -10t + 4.9t2 = 0 + -4.9t2 + 4.9t2 45 + -10t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 45 + -10t + 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 + -2.040816327t + t2 = 0 Move the constant term to the right: Add '-9.183673469' to each side of the equation. 9.183673469 + -2.040816327t + -9.183673469 + t2 = 0 + -9.183673469 Reorder the terms: 9.183673469 + -9.183673469 + -2.040816327t + t2 = 0 + -9.183673469 Combine like terms: 9.183673469 + -9.183673469 = 0.000000000 0.000000000 + -2.040816327t + t2 = 0 + -9.183673469 -2.040816327t + t2 = 0 + -9.183673469 Combine like terms: 0 + -9.183673469 = -9.183673469 -2.040816327t + t2 = -9.183673469 The t term is -2.040816327t. Take half its coefficient (-1.020408164). Square it (1.041232821) and add it to both sides. Add '1.041232821' to each side of the equation. -2.040816327t + 1.041232821 + t2 = -9.183673469 + 1.041232821 Reorder the terms: 1.041232821 + -2.040816327t + t2 = -9.183673469 + 1.041232821 Combine like terms: -9.183673469 + 1.041232821 = -8.142440648 1.041232821 + -2.040816327t + t2 = -8.142440648 Factor a perfect square on the left side: (t + -1.020408164)(t + -1.020408164) = -8.142440648 Can't calculate square root of the right side. The solution to this equation could not be determined.
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