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Simplifying 6t = 0.5t2 + 25 Reorder the terms: 6t = 25 + 0.5t2 Solving 6t = 25 + 0.5t2 Solving for variable 't'. Reorder the terms: -25 + 6t + -0.5t2 = 25 + 0.5t2 + -25 + -0.5t2 Reorder the terms: -25 + 6t + -0.5t2 = 25 + -25 + 0.5t2 + -0.5t2 Combine like terms: 25 + -25 = 0 -25 + 6t + -0.5t2 = 0 + 0.5t2 + -0.5t2 -25 + 6t + -0.5t2 = 0.5t2 + -0.5t2 Combine like terms: 0.5t2 + -0.5t2 = 0.0 -25 + 6t + -0.5t2 = 0.0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 50 + -12t + t2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + -12t + -50 + t2 = 0 + -50 Reorder the terms: 50 + -50 + -12t + t2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -12t + t2 = 0 + -50 -12t + t2 = 0 + -50 Combine like terms: 0 + -50 = -50 -12t + t2 = -50 The t term is -12t. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12t + 36 + t2 = -50 + 36 Reorder the terms: 36 + -12t + t2 = -50 + 36 Combine like terms: -50 + 36 = -14 36 + -12t + t2 = -14 Factor a perfect square on the left side: (t + -6)(t + -6) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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