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Simplifying 30t = 2.5t2 + 100 Reorder the terms: 30t = 100 + 2.5t2 Solving 30t = 100 + 2.5t2 Solving for variable 't'. Reorder the terms: -100 + 30t + -2.5t2 = 100 + 2.5t2 + -100 + -2.5t2 Reorder the terms: -100 + 30t + -2.5t2 = 100 + -100 + 2.5t2 + -2.5t2 Combine like terms: 100 + -100 = 0 -100 + 30t + -2.5t2 = 0 + 2.5t2 + -2.5t2 -100 + 30t + -2.5t2 = 2.5t2 + -2.5t2 Combine like terms: 2.5t2 + -2.5t2 = 0.0 -100 + 30t + -2.5t2 = 0.0 Begin completing the square. Divide all terms by -2.5 the coefficient of the squared term: Divide each side by '-2.5'. 40 + -12t + t2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -12t + -40 + t2 = 0 + -40 Reorder the terms: 40 + -40 + -12t + t2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -12t + t2 = 0 + -40 -12t + t2 = 0 + -40 Combine like terms: 0 + -40 = -40 -12t + t2 = -40 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 = -40 + 36 Reorder the terms: 36 + -12t + t2 = -40 + 36 Combine like terms: -40 + 36 = -4 36 + -12t + t2 = -4 Factor a perfect square on the left side: (t + -6)(t + -6) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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