(2t^2-t-9)(2t^2+2T-1)=

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Solution for (2t^2-t-9)(2t^2+2T-1)= equation: 


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

Reorder the terms:
(-9 + -1t + 2t2)(2t2 + 2T + -1) = 0

Reorder the terms:
(-9 + -1t + 2t2)(-1 + 2T + 2t2) = 0

Multiply (-9 + -1t + 2t2) * (-1 + 2T + 2t2)
(-9(-1 + 2T + 2t2) + -1t * (-1 + 2T + 2t2) + 2t2 * (-1 + 2T + 2t2)) = 0
((-1 * -9 + 2T * -9 + 2t2 * -9) + -1t * (-1 + 2T + 2t2) + 2t2 * (-1 + 2T + 2t2)) = 0
((9 + -18T + -18t2) + -1t * (-1 + 2T + 2t2) + 2t2 * (-1 + 2T + 2t2)) = 0
(9 + -18T + -18t2 + (-1 * -1t + 2T * -1t + 2t2 * -1t) + 2t2 * (-1 + 2T + 2t2)) = 0
(9 + -18T + -18t2 + (1t + -2tT + -2t3) + 2t2 * (-1 + 2T + 2t2)) = 0
(9 + -18T + -18t2 + 1t + -2tT + -2t3 + (-1 * 2t2 + 2T * 2t2 + 2t2 * 2t2)) = 0
(9 + -18T + -18t2 + 1t + -2tT + -2t3 + (-2t2 + 4t2T + 4t4)) = 0

Reorder the terms:
(9 + -18T + 1t + -2tT + -18t2 + -2t2 + 4t2T + -2t3 + 4t4) = 0

Combine like terms: -18t2 + -2t2 = -20t2
(9 + -18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4) = 0

Solving
9 + -18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + -9 + 4t4 = 0 + -9

Reorder the terms:
9 + -9 + -18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + -9
-18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + -9

Combine like terms: 0 + -9 = -9
-18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -9

Add '-1t' to each side of the equation.
-18T + 1t + -2tT + -20t2 + 4t2T + -2t3 + -1t + 4t4 = -9 + -1t

Reorder the terms:
-18T + 1t + -1t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -9 + -1t

Combine like terms: 1t + -1t = 0
-18T + 0 + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -9 + -1t
-18T + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -9 + -1t

Add '20t2' to each side of the equation.
-18T + -2tT + -20t2 + 4t2T + -2t3 + 20t2 + 4t4 = -9 + -1t + 20t2

Reorder the terms:
-18T + -2tT + -20t2 + 20t2 + 4t2T + -2t3 + 4t4 = -9 + -1t + 20t2

Combine like terms: -20t2 + 20t2 = 0
-18T + -2tT + 0 + 4t2T + -2t3 + 4t4 = -9 + -1t + 20t2
-18T + -2tT + 4t2T + -2t3 + 4t4 = -9 + -1t + 20t2

Add '2t3' to each side of the equation.
-18T + -2tT + 4t2T + -2t3 + 2t3 + 4t4 = -9 + -1t + 20t2 + 2t3

Combine like terms: -2t3 + 2t3 = 0
-18T + -2tT + 4t2T + 0 + 4t4 = -9 + -1t + 20t2 + 2t3
-18T + -2tT + 4t2T + 4t4 = -9 + -1t + 20t2 + 2t3

Add '-4t4' to each side of the equation.
-18T + -2tT + 4t2T + 4t4 + -4t4 = -9 + -1t + 20t2 + 2t3 + -4t4

Combine like terms: 4t4 + -4t4 = 0
-18T + -2tT + 4t2T + 0 = -9 + -1t + 20t2 + 2t3 + -4t4
-18T + -2tT + 4t2T = -9 + -1t + 20t2 + 2t3 + -4t4

Reorder the terms:
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -9 + -1t + 20t2 + 2t3 + -4t4 + 9 + t + -20t2 + -2t3 + 4t4

Reorder the terms:
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -9 + 9 + -1t + t + 20t2 + -20t2 + 2t3 + -2t3 + -4t4 + 4t4

Combine like terms: -9 + 9 = 0
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + -1t + t + 20t2 + -20t2 + 2t3 + -2t3 + -4t4 + 4t4
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -1t + t + 20t2 + -20t2 + 2t3 + -2t3 + -4t4 + 4t4

Combine like terms: -1t + t = 0
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + 20t2 + -20t2 + 2t3 + -2t3 + -4t4 + 4t4
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 20t2 + -20t2 + 2t3 + -2t3 + -4t4 + 4t4

Combine like terms: 20t2 + -20t2 = 0
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + 2t3 + -2t3 + -4t4 + 4t4
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 2t3 + -2t3 + -4t4 + 4t4

Combine like terms: 2t3 + -2t3 = 0
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0 + -4t4 + 4t4
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = -4t4 + 4t4

Combine like terms: -4t4 + 4t4 = 0
9 + -18T + t + -2tT + -20t2 + 4t2T + -2t3 + 4t4 = 0

The solution to this equation could not be determined.

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