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Simplifying 5t + -0.4t2 = 60 Solving 5t + -0.4t2 = 60 Solving for variable 't'. Reorder the terms: -60 + 5t + -0.4t2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 5t + -0.4t2 = 0 Begin completing the square. Divide all terms by -0.4 the coefficient of the squared term: Divide each side by '-0.4'. 150 + -12.5t + t2 = 0 Move the constant term to the right: Add '-150' to each side of the equation. 150 + -12.5t + -150 + t2 = 0 + -150 Reorder the terms: 150 + -150 + -12.5t + t2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -12.5t + t2 = 0 + -150 -12.5t + t2 = 0 + -150 Combine like terms: 0 + -150 = -150 -12.5t + t2 = -150 The t term is -12.5t. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5t + 39.0625 + t2 = -150 + 39.0625 Reorder the terms: 39.0625 + -12.5t + t2 = -150 + 39.0625 Combine like terms: -150 + 39.0625 = -110.9375 39.0625 + -12.5t + t2 = -110.9375 Factor a perfect square on the left side: (t + -6.25)(t + -6.25) = -110.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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