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Simplifying 0.675t2 + -2t + 2 = 0 Reorder the terms: 2 + -2t + 0.675t2 = 0 Solving 2 + -2t + 0.675t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.675 the coefficient of the squared term: Divide each side by '0.675'. 2.962962963 + -2.962962963t + t2 = 0 Move the constant term to the right: Add '-2.962962963' to each side of the equation. 2.962962963 + -2.962962963t + -2.962962963 + t2 = 0 + -2.962962963 Reorder the terms: 2.962962963 + -2.962962963 + -2.962962963t + t2 = 0 + -2.962962963 Combine like terms: 2.962962963 + -2.962962963 = 0.000000000 0.000000000 + -2.962962963t + t2 = 0 + -2.962962963 -2.962962963t + t2 = 0 + -2.962962963 Combine like terms: 0 + -2.962962963 = -2.962962963 -2.962962963t + t2 = -2.962962963 The t term is -2.962962963t. Take half its coefficient (-1.481481482). Square it (2.194787382) and add it to both sides. Add '2.194787382' to each side of the equation. -2.962962963t + 2.194787382 + t2 = -2.962962963 + 2.194787382 Reorder the terms: 2.194787382 + -2.962962963t + t2 = -2.962962963 + 2.194787382 Combine like terms: -2.962962963 + 2.194787382 = -0.768175581 2.194787382 + -2.962962963t + t2 = -0.768175581 Factor a perfect square on the left side: (t + -1.481481482)(t + -1.481481482) = -0.768175581 Can't calculate square root of the right side. The solution to this equation could not be determined.
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