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Simplifying 0 = 4.9t2 + 2t + 10 Reorder the terms: 0 = 10 + 2t + 4.9t2 Solving 0 = 10 + 2t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + -10 = -10 -10 + -2t + -4.9t2 = 10 + 2t + 4.9t2 + -10 + -2t + -4.9t2 Reorder the terms: -10 + -2t + -4.9t2 = 10 + -10 + 2t + -2t + 4.9t2 + -4.9t2 Combine like terms: 10 + -10 = 0 -10 + -2t + -4.9t2 = 0 + 2t + -2t + 4.9t2 + -4.9t2 -10 + -2t + -4.9t2 = 2t + -2t + 4.9t2 + -4.9t2 Combine like terms: 2t + -2t = 0 -10 + -2t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -10 + -2t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -10 + -2t + -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'. 2.040816327 + 0.4081632653t + t2 = 0 Move the constant term to the right: Add '-2.040816327' to each side of the equation. 2.040816327 + 0.4081632653t + -2.040816327 + t2 = 0 + -2.040816327 Reorder the terms: 2.040816327 + -2.040816327 + 0.4081632653t + t2 = 0 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + 0.4081632653t + t2 = 0 + -2.040816327 0.4081632653t + t2 = 0 + -2.040816327 Combine like terms: 0 + -2.040816327 = -2.040816327 0.4081632653t + t2 = -2.040816327 The t term is 0.4081632653t. Take half its coefficient (0.2040816327). Square it (0.04164931281) and add it to both sides. Add '0.04164931281' to each side of the equation. 0.4081632653t + 0.04164931281 + t2 = -2.040816327 + 0.04164931281 Reorder the terms: 0.04164931281 + 0.4081632653t + t2 = -2.040816327 + 0.04164931281 Combine like terms: -2.040816327 + 0.04164931281 = -1.99916701419 0.04164931281 + 0.4081632653t + t2 = -1.99916701419 Factor a perfect square on the left side: (t + 0.2040816327)(t + 0.2040816327) = -1.99916701419 Can't calculate square root of the right side. The solution to this equation could not be determined.
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