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Simplifying 3t2 + t + 300 = 0 Reorder the terms: 300 + t + 3t2 = 0 Solving 300 + t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 100 + 0.3333333333t + t2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + 0.3333333333t + -100 + t2 = 0 + -100 Reorder the terms: 100 + -100 + 0.3333333333t + t2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 0.3333333333t + t2 = 0 + -100 0.3333333333t + t2 = 0 + -100 Combine like terms: 0 + -100 = -100 0.3333333333t + t2 = -100 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.3333333333t + 0.25 + t2 = -100 + 0.25 Reorder the terms: 0.25 + 0.3333333333t + t2 = -100 + 0.25 Combine like terms: -100 + 0.25 = -99.75 0.25 + 0.3333333333t + t2 = -99.75 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -99.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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