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Simplifying 12t = 5t2 + 24 Reorder the terms: 12t = 24 + 5t2 Solving 12t = 24 + 5t2 Solving for variable 't'. Reorder the terms: -24 + 12t + -5t2 = 24 + 5t2 + -24 + -5t2 Reorder the terms: -24 + 12t + -5t2 = 24 + -24 + 5t2 + -5t2 Combine like terms: 24 + -24 = 0 -24 + 12t + -5t2 = 0 + 5t2 + -5t2 -24 + 12t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -24 + 12t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 4.8 + -2.4t + t2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -2.4t + -4.8 + t2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -2.4t + t2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -2.4t + t2 = 0 + -4.8 -2.4t + t2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -2.4t + t2 = -4.8 The t term is -2.4t. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4t + 1.44 + t2 = -4.8 + 1.44 Reorder the terms: 1.44 + -2.4t + t2 = -4.8 + 1.44 Combine like terms: -4.8 + 1.44 = -3.36 1.44 + -2.4t + t2 = -3.36 Factor a perfect square on the left side: (t + -1.2)(t + -1.2) = -3.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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