(2t^2-t-4)(2t^2+2t-1)=x

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Solution for (2t^2-t-4)(2t^2+2t-1)=x equation:


Simplifying
(2t2 + -1t + -4)(2t2 + 2t + -1) = x

Reorder the terms:
(-4 + -1t + 2t2)(2t2 + 2t + -1) = x

Reorder the terms:
(-4 + -1t + 2t2)(-1 + 2t + 2t2) = x

Multiply (-4 + -1t + 2t2) * (-1 + 2t + 2t2)
(-4(-1 + 2t + 2t2) + -1t * (-1 + 2t + 2t2) + 2t2 * (-1 + 2t + 2t2)) = x
((-1 * -4 + 2t * -4 + 2t2 * -4) + -1t * (-1 + 2t + 2t2) + 2t2 * (-1 + 2t + 2t2)) = x
((4 + -8t + -8t2) + -1t * (-1 + 2t + 2t2) + 2t2 * (-1 + 2t + 2t2)) = x
(4 + -8t + -8t2 + (-1 * -1t + 2t * -1t + 2t2 * -1t) + 2t2 * (-1 + 2t + 2t2)) = x
(4 + -8t + -8t2 + (1t + -2t2 + -2t3) + 2t2 * (-1 + 2t + 2t2)) = x
(4 + -8t + -8t2 + 1t + -2t2 + -2t3 + (-1 * 2t2 + 2t * 2t2 + 2t2 * 2t2)) = x
(4 + -8t + -8t2 + 1t + -2t2 + -2t3 + (-2t2 + 4t3 + 4t4)) = x

Reorder the terms:
(4 + -8t + 1t + -8t2 + -2t2 + -2t2 + -2t3 + 4t3 + 4t4) = x

Combine like terms: -8t + 1t = -7t
(4 + -7t + -8t2 + -2t2 + -2t2 + -2t3 + 4t3 + 4t4) = x

Combine like terms: -8t2 + -2t2 = -10t2
(4 + -7t + -10t2 + -2t2 + -2t3 + 4t3 + 4t4) = x

Combine like terms: -10t2 + -2t2 = -12t2
(4 + -7t + -12t2 + -2t3 + 4t3 + 4t4) = x

Combine like terms: -2t3 + 4t3 = 2t3
(4 + -7t + -12t2 + 2t3 + 4t4) = x

Solving
4 + -7t + -12t2 + 2t3 + 4t4 = x

Solving for variable 't'.

Combine like terms: x + -1x = 0
4 + -7t + -12t2 + 2t3 + 4t4 + -1x = 0

The solution to this equation could not be determined.

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