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Simplifying 0.1t2 + -0.2t + 3 = 0 Reorder the terms: 3 + -0.2t + 0.1t2 = 0 Solving 3 + -0.2t + 0.1t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 30 + -2t + t2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -2t + -30 + t2 = 0 + -30 Reorder the terms: 30 + -30 + -2t + t2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2t + t2 = 0 + -30 -2t + t2 = 0 + -30 Combine like terms: 0 + -30 = -30 -2t + t2 = -30 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = -30 + 1 Reorder the terms: 1 + -2t + t2 = -30 + 1 Combine like terms: -30 + 1 = -29 1 + -2t + t2 = -29 Factor a perfect square on the left side: (t + -1)(t + -1) = -29 Can't calculate square root of the right side. The solution to this equation could not be determined.
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