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Simplifying t2 + 9 = -4t Reorder the terms: 9 + t2 = -4t Solving 9 + t2 = -4t Solving for variable 't'. Reorder the terms: 9 + 4t + t2 = -4t + 4t Combine like terms: -4t + 4t = 0 9 + 4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 4t + -9 + t2 = 0 + -9 Reorder the terms: 9 + -9 + 4t + t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4t + t2 = 0 + -9 4t + t2 = 0 + -9 Combine like terms: 0 + -9 = -9 4t + t2 = -9 The t term is 4t. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4t + 4 + t2 = -9 + 4 Reorder the terms: 4 + 4t + t2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + 4t + t2 = -5 Factor a perfect square on the left side: (t + 2)(t + 2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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