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Simplifying t2 + 6t + 216 = 0 Reorder the terms: 216 + 6t + t2 = 0 Solving 216 + 6t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-216' to each side of the equation. 216 + 6t + -216 + t2 = 0 + -216 Reorder the terms: 216 + -216 + 6t + t2 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + 6t + t2 = 0 + -216 6t + t2 = 0 + -216 Combine like terms: 0 + -216 = -216 6t + t2 = -216 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 = -216 + 9 Reorder the terms: 9 + 6t + t2 = -216 + 9 Combine like terms: -216 + 9 = -207 9 + 6t + t2 = -207 Factor a perfect square on the left side: (t + 3)(t + 3) = -207 Can't calculate square root of the right side. The solution to this equation could not be determined.
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