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Simplifying 50 = 20t + -4.9t2 Solving 50 = 20t + -4.9t2 Solving for variable 't'. Reorder the terms: 50 + -20t + 4.9t2 = 20t + -20t + -4.9t2 + 4.9t2 Combine like terms: 20t + -20t = 0 50 + -20t + 4.9t2 = 0 + -4.9t2 + 4.9t2 50 + -20t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 50 + -20t + 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'. 10.20408163 + -4.081632653t + t2 = 0 Move the constant term to the right: Add '-10.20408163' to each side of the equation. 10.20408163 + -4.081632653t + -10.20408163 + t2 = 0 + -10.20408163 Reorder the terms: 10.20408163 + -10.20408163 + -4.081632653t + t2 = 0 + -10.20408163 Combine like terms: 10.20408163 + -10.20408163 = 0.00000000 0.00000000 + -4.081632653t + t2 = 0 + -10.20408163 -4.081632653t + t2 = 0 + -10.20408163 Combine like terms: 0 + -10.20408163 = -10.20408163 -4.081632653t + t2 = -10.20408163 The t term is -4.081632653t. Take half its coefficient (-2.040816327). Square it (4.164931281) and add it to both sides. Add '4.164931281' to each side of the equation. -4.081632653t + 4.164931281 + t2 = -10.20408163 + 4.164931281 Reorder the terms: 4.164931281 + -4.081632653t + t2 = -10.20408163 + 4.164931281 Combine like terms: -10.20408163 + 4.164931281 = -6.039150349 4.164931281 + -4.081632653t + t2 = -6.039150349 Factor a perfect square on the left side: (t + -2.040816327)(t + -2.040816327) = -6.039150349 Can't calculate square root of the right side. The solution to this equation could not be determined.
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