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Simplifying 0 = 3t2 + -18t + 400 Reorder the terms: 0 = 400 + -18t + 3t2 Solving 0 = 400 + -18t + 3t2 Solving for variable 't'. Combine like terms: 0 + -400 = -400 -400 + 18t + -3t2 = 400 + -18t + 3t2 + -400 + 18t + -3t2 Reorder the terms: -400 + 18t + -3t2 = 400 + -400 + -18t + 18t + 3t2 + -3t2 Combine like terms: 400 + -400 = 0 -400 + 18t + -3t2 = 0 + -18t + 18t + 3t2 + -3t2 -400 + 18t + -3t2 = -18t + 18t + 3t2 + -3t2 Combine like terms: -18t + 18t = 0 -400 + 18t + -3t2 = 0 + 3t2 + -3t2 -400 + 18t + -3t2 = 3t2 + -3t2 Combine like terms: 3t2 + -3t2 = 0 -400 + 18t + -3t2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 133.3333333 + -6t + t2 = 0 Move the constant term to the right: Add '-133.3333333' to each side of the equation. 133.3333333 + -6t + -133.3333333 + t2 = 0 + -133.3333333 Reorder the terms: 133.3333333 + -133.3333333 + -6t + t2 = 0 + -133.3333333 Combine like terms: 133.3333333 + -133.3333333 = 0.0000000 0.0000000 + -6t + t2 = 0 + -133.3333333 -6t + t2 = 0 + -133.3333333 Combine like terms: 0 + -133.3333333 = -133.3333333 -6t + t2 = -133.3333333 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -133.3333333 + 9 Reorder the terms: 9 + -6t + t2 = -133.3333333 + 9 Combine like terms: -133.3333333 + 9 = -124.3333333 9 + -6t + t2 = -124.3333333 Factor a perfect square on the left side: (t + -3)(t + -3) = -124.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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