(2(3+t)(9-t^2))+((3-t)(9-t^2))+((3-t)(3+t))=0

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Solution for (2(3+t)(9-t^2))+((3-t)(9-t^2))+((3-t)(3+t))=0 equation: 


Simplifying
(2(3 + t)(9 + -1t2)) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0

Multiply (3 + t) * (9 + -1t2)
(2(3(9 + -1t2) + t(9 + -1t2))) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
(2((9 * 3 + -1t2 * 3) + t(9 + -1t2))) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
(2((27 + -3t2) + t(9 + -1t2))) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
(2(27 + -3t2 + (9 * t + -1t2 * t))) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
(2(27 + -3t2 + (9t + -1t3))) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0

Reorder the terms:
(2(27 + 9t + -3t2 + -1t3)) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
(2(27 + 9t + -3t2 + -1t3)) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
((27 * 2 + 9t * 2 + -3t2 * 2 + -1t3 * 2)) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
((54 + 18t + -6t2 + -2t3)) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0
(54 + 18t + -6t2 + -2t3) + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0

Remove parenthesis around (54 + 18t + -6t2 + -2t3)
54 + 18t + -6t2 + -2t3 + ((3 + -1t)(9 + -1t2)) + ((3 + -1t)(3 + t)) = 0

Multiply (3 + -1t) * (9 + -1t2)
54 + 18t + -6t2 + -2t3 + ((3(9 + -1t2) + -1t * (9 + -1t2))) + ((3 + -1t)(3 + t)) = 0
54 + 18t + -6t2 + -2t3 + (((9 * 3 + -1t2 * 3) + -1t * (9 + -1t2))) + ((3 + -1t)(3 + t)) = 0
54 + 18t + -6t2 + -2t3 + (((27 + -3t2) + -1t * (9 + -1t2))) + ((3 + -1t)(3 + t)) = 0
54 + 18t + -6t2 + -2t3 + ((27 + -3t2 + (9 * -1t + -1t2 * -1t))) + ((3 + -1t)(3 + t)) = 0
54 + 18t + -6t2 + -2t3 + ((27 + -3t2 + (-9t + 1t3))) + ((3 + -1t)(3 + t)) = 0

Reorder the terms:
54 + 18t + -6t2 + -2t3 + ((27 + -9t + -3t2 + 1t3)) + ((3 + -1t)(3 + t)) = 0
54 + 18t + -6t2 + -2t3 + ((27 + -9t + -3t2 + 1t3)) + ((3 + -1t)(3 + t)) = 0
54 + 18t + -6t2 + -2t3 + (27 + -9t + -3t2 + 1t3) + ((3 + -1t)(3 + t)) = 0

Remove parenthesis around (27 + -9t + -3t2 + 1t3)
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + ((3 + -1t)(3 + t)) = 0

Multiply (3 + -1t) * (3 + t)
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + ((3(3 + t) + -1t * (3 + t))) = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + (((3 * 3 + t * 3) + -1t * (3 + t))) = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + (((9 + 3t) + -1t * (3 + t))) = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + ((9 + 3t + (3 * -1t + t * -1t))) = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + ((9 + 3t + (-3t + -1t2))) = 0

Combine like terms: 3t + -3t = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + ((9 + 0 + -1t2)) = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + ((9 + -1t2)) = 0
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + (9 + -1t2) = 0

Remove parenthesis around (9 + -1t2)
54 + 18t + -6t2 + -2t3 + 27 + -9t + -3t2 + 1t3 + 9 + -1t2 = 0

Reorder the terms:
54 + 27 + 9 + 18t + -9t + -6t2 + -3t2 + -1t2 + -2t3 + 1t3 = 0

Combine like terms: 54 + 27 = 81
81 + 9 + 18t + -9t + -6t2 + -3t2 + -1t2 + -2t3 + 1t3 = 0

Combine like terms: 81 + 9 = 90
90 + 18t + -9t + -6t2 + -3t2 + -1t2 + -2t3 + 1t3 = 0

Combine like terms: 18t + -9t = 9t
90 + 9t + -6t2 + -3t2 + -1t2 + -2t3 + 1t3 = 0

Combine like terms: -6t2 + -3t2 = -9t2
90 + 9t + -9t2 + -1t2 + -2t3 + 1t3 = 0

Combine like terms: -9t2 + -1t2 = -10t2
90 + 9t + -10t2 + -2t3 + 1t3 = 0

Combine like terms: -2t3 + 1t3 = -1t3
90 + 9t + -10t2 + -1t3 = 0

Solving
90 + 9t + -10t2 + -1t3 = 0

Solving for variable 't'.

The solution to this equation could not be determined.

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