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Simplifying t2 + 6t + 40 = 0 Reorder the terms: 40 + 6t + t2 = 0 Solving 40 + 6t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 6t + -40 + t2 = 0 + -40 Reorder the terms: 40 + -40 + 6t + t2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 6t + t2 = 0 + -40 6t + t2 = 0 + -40 Combine like terms: 0 + -40 = -40 6t + t2 = -40 The t term is 6t. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6t + 9 + t2 = -40 + 9 Reorder the terms: 9 + 6t + t2 = -40 + 9 Combine like terms: -40 + 9 = -31 9 + 6t + t2 = -31 Factor a perfect square on the left side: (t + 3)(t + 3) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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