(t^2+7t+3)(12t)+(6t^2+5)(2t+7)t=3

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Solution for (t^2+7t+3)(12t)+(6t^2+5)(2t+7)t=3 equation:


Simplifying
(t2 + 7t + 3)(12t) + (6t2 + 5)(2t + 7) * t = 3

Reorder the terms:
(3 + 7t + t2)(12t) + (6t2 + 5)(2t + 7) * t = 3

Remove parenthesis around (12t)
(3 + 7t + t2) * 12t + (6t2 + 5)(2t + 7) * t = 3

Reorder the terms for easier multiplication:
12t(3 + 7t + t2) + (6t2 + 5)(2t + 7) * t = 3
(3 * 12t + 7t * 12t + t2 * 12t) + (6t2 + 5)(2t + 7) * t = 3
(36t + 84t2 + 12t3) + (6t2 + 5)(2t + 7) * t = 3

Reorder the terms:
36t + 84t2 + 12t3 + (5 + 6t2)(2t + 7) * t = 3

Reorder the terms:
36t + 84t2 + 12t3 + (5 + 6t2)(7 + 2t) * t = 3

Reorder the terms for easier multiplication:
36t + 84t2 + 12t3 + t(5 + 6t2)(7 + 2t) = 3

Multiply (5 + 6t2) * (7 + 2t)
36t + 84t2 + 12t3 + t(5(7 + 2t) + 6t2 * (7 + 2t)) = 3
36t + 84t2 + 12t3 + t((7 * 5 + 2t * 5) + 6t2 * (7 + 2t)) = 3
36t + 84t2 + 12t3 + t((35 + 10t) + 6t2 * (7 + 2t)) = 3
36t + 84t2 + 12t3 + t(35 + 10t + (7 * 6t2 + 2t * 6t2)) = 3
36t + 84t2 + 12t3 + t(35 + 10t + (42t2 + 12t3)) = 3
36t + 84t2 + 12t3 + t(35 + 10t + 42t2 + 12t3) = 3
36t + 84t2 + 12t3 + (35 * t + 10t * t + 42t2 * t + 12t3 * t) = 3
36t + 84t2 + 12t3 + (35t + 10t2 + 42t3 + 12t4) = 3

Reorder the terms:
36t + 35t + 84t2 + 10t2 + 12t3 + 42t3 + 12t4 = 3

Combine like terms: 36t + 35t = 71t
71t + 84t2 + 10t2 + 12t3 + 42t3 + 12t4 = 3

Combine like terms: 84t2 + 10t2 = 94t2
71t + 94t2 + 12t3 + 42t3 + 12t4 = 3

Combine like terms: 12t3 + 42t3 = 54t3
71t + 94t2 + 54t3 + 12t4 = 3

Solving
71t + 94t2 + 54t3 + 12t4 = 3

Solving for variable 't'.

Reorder the terms:
-3 + 71t + 94t2 + 54t3 + 12t4 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 71t + 94t2 + 54t3 + 12t4 = 0

The solution to this equation could not be determined.

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