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Simplifying t2 + 5t + 52 = 0 Reorder the terms: 52 + 5t + t2 = 0 Solving 52 + 5t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-52' to each side of the equation. 52 + 5t + -52 + t2 = 0 + -52 Reorder the terms: 52 + -52 + 5t + t2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 5t + t2 = 0 + -52 5t + t2 = 0 + -52 Combine like terms: 0 + -52 = -52 5t + t2 = -52 The t term is 5t. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5t + 6.25 + t2 = -52 + 6.25 Reorder the terms: 6.25 + 5t + t2 = -52 + 6.25 Combine like terms: -52 + 6.25 = -45.75 6.25 + 5t + t2 = -45.75 Factor a perfect square on the left side: (t + 2.5)(t + 2.5) = -45.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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