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Simplifying t2 + 2t + 150 = 0 Reorder the terms: 150 + 2t + t2 = 0 Solving 150 + 2t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-150' to each side of the equation. 150 + 2t + -150 + t2 = 0 + -150 Reorder the terms: 150 + -150 + 2t + t2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 2t + t2 = 0 + -150 2t + t2 = 0 + -150 Combine like terms: 0 + -150 = -150 2t + t2 = -150 The t term is 2t. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2t + 1 + t2 = -150 + 1 Reorder the terms: 1 + 2t + t2 = -150 + 1 Combine like terms: -150 + 1 = -149 1 + 2t + t2 = -149 Factor a perfect square on the left side: (t + 1)(t + 1) = -149 Can't calculate square root of the right side. The solution to this equation could not be determined.