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Simplifying 5t2 + -1t + 24 = 0 Reorder the terms: 24 + -1t + 5t2 = 0 Solving 24 + -1t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + -0.2t + t2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -0.2t + -4.8 + t2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -0.2t + t2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.2t + t2 = 0 + -4.8 -0.2t + t2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -0.2t + t2 = -4.8 The t term is -0.2t. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2t + 0.01 + t2 = -4.8 + 0.01 Reorder the terms: 0.01 + -0.2t + t2 = -4.8 + 0.01 Combine like terms: -4.8 + 0.01 = -4.79 0.01 + -0.2t + t2 = -4.79 Factor a perfect square on the left side: (t + -0.1)(t + -0.1) = -4.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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