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Simplifying 4.9t2 + 3t = -10 Reorder the terms: 3t + 4.9t2 = -10 Solving 3t + 4.9t2 = -10 Solving for variable 't'. Reorder the terms: 10 + 3t + 4.9t2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 3t + 4.9t2 = 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 + 0.612244898t + t2 = 0 Move the constant term to the right: Add '-2.040816327' to each side of the equation. 2.040816327 + 0.612244898t + -2.040816327 + t2 = 0 + -2.040816327 Reorder the terms: 2.040816327 + -2.040816327 + 0.612244898t + t2 = 0 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + 0.612244898t + t2 = 0 + -2.040816327 0.612244898t + t2 = 0 + -2.040816327 Combine like terms: 0 + -2.040816327 = -2.040816327 0.612244898t + t2 = -2.040816327 The t term is 0.612244898t. Take half its coefficient (0.306122449). Square it (0.09371095378) and add it to both sides. Add '0.09371095378' to each side of the equation. 0.612244898t + 0.09371095378 + t2 = -2.040816327 + 0.09371095378 Reorder the terms: 0.09371095378 + 0.612244898t + t2 = -2.040816327 + 0.09371095378 Combine like terms: -2.040816327 + 0.09371095378 = -1.94710537322 0.09371095378 + 0.612244898t + t2 = -1.94710537322 Factor a perfect square on the left side: (t + 0.306122449)(t + 0.306122449) = -1.94710537322 Can't calculate square root of the right side. The solution to this equation could not be determined.
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