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Simplifying 0 = 4.9t2 + -3t + 7 Reorder the terms: 0 = 7 + -3t + 4.9t2 Solving 0 = 7 + -3t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + -7 = -7 -7 + 3t + -4.9t2 = 7 + -3t + 4.9t2 + -7 + 3t + -4.9t2 Reorder the terms: -7 + 3t + -4.9t2 = 7 + -7 + -3t + 3t + 4.9t2 + -4.9t2 Combine like terms: 7 + -7 = 0 -7 + 3t + -4.9t2 = 0 + -3t + 3t + 4.9t2 + -4.9t2 -7 + 3t + -4.9t2 = -3t + 3t + 4.9t2 + -4.9t2 Combine like terms: -3t + 3t = 0 -7 + 3t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -7 + 3t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -7 + 3t + -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'. 1.428571429 + -0.612244898t + t2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -0.612244898t + -1.428571429 + t2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -0.612244898t + t2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -0.612244898t + t2 = 0 + -1.428571429 -0.612244898t + t2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -0.612244898t + t2 = -1.428571429 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 = -1.428571429 + 0.09371095378 Reorder the terms: 0.09371095378 + -0.612244898t + t2 = -1.428571429 + 0.09371095378 Combine like terms: -1.428571429 + 0.09371095378 = -1.33486047522 0.09371095378 + -0.612244898t + t2 = -1.33486047522 Factor a perfect square on the left side: (t + -0.306122449)(t + -0.306122449) = -1.33486047522 Can't calculate square root of the right side. The solution to this equation could not be determined.
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