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Simplifying -4t = -5t2 + -9 Reorder the terms: -4t = -9 + -5t2 Solving -4t = -9 + -5t2 Solving for variable 't'. Reorder the terms: 9 + -4t + 5t2 = -9 + -5t2 + 9 + 5t2 Reorder the terms: 9 + -4t + 5t2 = -9 + 9 + -5t2 + 5t2 Combine like terms: -9 + 9 = 0 9 + -4t + 5t2 = 0 + -5t2 + 5t2 9 + -4t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 9 + -4t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -0.8t + t2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -0.8t + -1.8 + t2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.8t + t2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.8t + t2 = 0 + -1.8 -0.8t + t2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -0.8t + t2 = -1.8 The t term is -0.8t. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8t + 0.16 + t2 = -1.8 + 0.16 Reorder the terms: 0.16 + -0.8t + t2 = -1.8 + 0.16 Combine like terms: -1.8 + 0.16 = -1.64 0.16 + -0.8t + t2 = -1.64 Factor a perfect square on the left side: (t + -0.4)(t + -0.4) = -1.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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