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Simplifying t2 + 4t + 29 = 0 Reorder the terms: 29 + 4t + t2 = 0 Solving 29 + 4t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 4t + -29 + t2 = 0 + -29 Reorder the terms: 29 + -29 + 4t + t2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4t + t2 = 0 + -29 4t + t2 = 0 + -29 Combine like terms: 0 + -29 = -29 4t + t2 = -29 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 = -29 + 4 Reorder the terms: 4 + 4t + t2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + 4t + t2 = -25 Factor a perfect square on the left side: (t + 2)(t + 2) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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