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Simplifying 0.3t2 + 0.6t + 0.5 = 0 Reorder the terms: 0.5 + 0.6t + 0.3t2 = 0 Solving 0.5 + 0.6t + 0.3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.3 the coefficient of the squared term: Divide each side by '0.3'. 1.666666667 + 2t + t2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + 2t + -1.666666667 + t2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + 2t + t2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + 2t + t2 = 0 + -1.666666667 2t + t2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 2t + t2 = -1.666666667 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 = -1.666666667 + 1 Reorder the terms: 1 + 2t + t2 = -1.666666667 + 1 Combine like terms: -1.666666667 + 1 = -0.666666667 1 + 2t + t2 = -0.666666667 Factor a perfect square on the left side: (t + 1)(t + 1) = -0.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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