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Simplifying (2t + -3)(x + 6t + 9) = 8t3 + -24 Reorder the terms: (-3 + 2t)(x + 6t + 9) = 8t3 + -24 Reorder the terms: (-3 + 2t)(9 + 6t + x) = 8t3 + -24 Multiply (-3 + 2t) * (9 + 6t + x) (-3(9 + 6t + x) + 2t * (9 + 6t + x)) = 8t3 + -24 ((9 * -3 + 6t * -3 + x * -3) + 2t * (9 + 6t + x)) = 8t3 + -24 ((-27 + -18t + -3x) + 2t * (9 + 6t + x)) = 8t3 + -24 (-27 + -18t + -3x + (9 * 2t + 6t * 2t + x * 2t)) = 8t3 + -24 Reorder the terms: (-27 + -18t + -3x + (18t + 2tx + 12t2)) = 8t3 + -24 (-27 + -18t + -3x + (18t + 2tx + 12t2)) = 8t3 + -24 Reorder the terms: (-27 + -18t + 18t + 2tx + 12t2 + -3x) = 8t3 + -24 Combine like terms: -18t + 18t = 0 (-27 + 0 + 2tx + 12t2 + -3x) = 8t3 + -24 (-27 + 2tx + 12t2 + -3x) = 8t3 + -24 Reorder the terms: -27 + 2tx + 12t2 + -3x = -24 + 8t3 Solving -27 + 2tx + 12t2 + -3x = -24 + 8t3 Solving for variable 't'. Reorder the terms: -27 + 24 + 2tx + 12t2 + -8t3 + -3x = -24 + 8t3 + 24 + -8t3 Combine like terms: -27 + 24 = -3 -3 + 2tx + 12t2 + -8t3 + -3x = -24 + 8t3 + 24 + -8t3 Reorder the terms: -3 + 2tx + 12t2 + -8t3 + -3x = -24 + 24 + 8t3 + -8t3 Combine like terms: -24 + 24 = 0 -3 + 2tx + 12t2 + -8t3 + -3x = 0 + 8t3 + -8t3 -3 + 2tx + 12t2 + -8t3 + -3x = 8t3 + -8t3 Combine like terms: 8t3 + -8t3 = 0 -3 + 2tx + 12t2 + -8t3 + -3x = 0 The solution to this equation could not be determined.
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