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Simplifying 0.25 + -0.3t + 1.2t2 = 0 Solving 0.25 + -0.3t + 1.2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 1.2 the coefficient of the squared term: Divide each side by '1.2'. 0.2083333333 + -0.25t + t2 = 0 Move the constant term to the right: Add '-0.2083333333' to each side of the equation. 0.2083333333 + -0.25t + -0.2083333333 + t2 = 0 + -0.2083333333 Reorder the terms: 0.2083333333 + -0.2083333333 + -0.25t + t2 = 0 + -0.2083333333 Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000 0.0000000000 + -0.25t + t2 = 0 + -0.2083333333 -0.25t + t2 = 0 + -0.2083333333 Combine like terms: 0 + -0.2083333333 = -0.2083333333 -0.25t + t2 = -0.2083333333 The t term is -0.25t. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25t + 0.015625 + t2 = -0.2083333333 + 0.015625 Reorder the terms: 0.015625 + -0.25t + t2 = -0.2083333333 + 0.015625 Combine like terms: -0.2083333333 + 0.015625 = -0.1927083333 0.015625 + -0.25t + t2 = -0.1927083333 Factor a perfect square on the left side: (t + -0.125)(t + -0.125) = -0.1927083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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