(3t^2-t-4)(2t^2+3t-1)=6t^4+7t^3-14t^2-11t+4

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Solution for (3t^2-t-4)(2t^2+3t-1)=6t^4+7t^3-14t^2-11t+4 equation: 


Simplifying
(3t2 + -1t + -4)(2t2 + 3t + -1) = 6t4 + 7t3 + -14t2 + -11t + 4

Reorder the terms:
(-4 + -1t + 3t2)(2t2 + 3t + -1) = 6t4 + 7t3 + -14t2 + -11t + 4

Reorder the terms:
(-4 + -1t + 3t2)(-1 + 3t + 2t2) = 6t4 + 7t3 + -14t2 + -11t + 4

Multiply (-4 + -1t + 3t2) * (-1 + 3t + 2t2)
(-4(-1 + 3t + 2t2) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) = 6t4 + 7t3 + -14t2 + -11t + 4
((-1 * -4 + 3t * -4 + 2t2 * -4) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) = 6t4 + 7t3 + -14t2 + -11t + 4
((4 + -12t + -8t2) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) = 6t4 + 7t3 + -14t2 + -11t + 4
(4 + -12t + -8t2 + (-1 * -1t + 3t * -1t + 2t2 * -1t) + 3t2 * (-1 + 3t + 2t2)) = 6t4 + 7t3 + -14t2 + -11t + 4
(4 + -12t + -8t2 + (1t + -3t2 + -2t3) + 3t2 * (-1 + 3t + 2t2)) = 6t4 + 7t3 + -14t2 + -11t + 4
(4 + -12t + -8t2 + 1t + -3t2 + -2t3 + (-1 * 3t2 + 3t * 3t2 + 2t2 * 3t2)) = 6t4 + 7t3 + -14t2 + -11t + 4
(4 + -12t + -8t2 + 1t + -3t2 + -2t3 + (-3t2 + 9t3 + 6t4)) = 6t4 + 7t3 + -14t2 + -11t + 4

Reorder the terms:
(4 + -12t + 1t + -8t2 + -3t2 + -3t2 + -2t3 + 9t3 + 6t4) = 6t4 + 7t3 + -14t2 + -11t + 4

Combine like terms: -12t + 1t = -11t
(4 + -11t + -8t2 + -3t2 + -3t2 + -2t3 + 9t3 + 6t4) = 6t4 + 7t3 + -14t2 + -11t + 4

Combine like terms: -8t2 + -3t2 = -11t2
(4 + -11t + -11t2 + -3t2 + -2t3 + 9t3 + 6t4) = 6t4 + 7t3 + -14t2 + -11t + 4

Combine like terms: -11t2 + -3t2 = -14t2
(4 + -11t + -14t2 + -2t3 + 9t3 + 6t4) = 6t4 + 7t3 + -14t2 + -11t + 4

Combine like terms: -2t3 + 9t3 = 7t3
(4 + -11t + -14t2 + 7t3 + 6t4) = 6t4 + 7t3 + -14t2 + -11t + 4

Reorder the terms:
4 + -11t + -14t2 + 7t3 + 6t4 = 4 + -11t + -14t2 + 7t3 + 6t4

Add '-4' to each side of the equation.
4 + -11t + -14t2 + 7t3 + -4 + 6t4 = 4 + -11t + -14t2 + 7t3 + -4 + 6t4

Reorder the terms:
4 + -4 + -11t + -14t2 + 7t3 + 6t4 = 4 + -11t + -14t2 + 7t3 + -4 + 6t4

Combine like terms: 4 + -4 = 0
0 + -11t + -14t2 + 7t3 + 6t4 = 4 + -11t + -14t2 + 7t3 + -4 + 6t4
-11t + -14t2 + 7t3 + 6t4 = 4 + -11t + -14t2 + 7t3 + -4 + 6t4

Reorder the terms:
-11t + -14t2 + 7t3 + 6t4 = 4 + -4 + -11t + -14t2 + 7t3 + 6t4

Combine like terms: 4 + -4 = 0
-11t + -14t2 + 7t3 + 6t4 = 0 + -11t + -14t2 + 7t3 + 6t4
-11t + -14t2 + 7t3 + 6t4 = -11t + -14t2 + 7t3 + 6t4

Add '11t' to each side of the equation.
-11t + -14t2 + 7t3 + 11t + 6t4 = -11t + -14t2 + 7t3 + 11t + 6t4

Reorder the terms:
-11t + 11t + -14t2 + 7t3 + 6t4 = -11t + -14t2 + 7t3 + 11t + 6t4

Combine like terms: -11t + 11t = 0
0 + -14t2 + 7t3 + 6t4 = -11t + -14t2 + 7t3 + 11t + 6t4
-14t2 + 7t3 + 6t4 = -11t + -14t2 + 7t3 + 11t + 6t4

Reorder the terms:
-14t2 + 7t3 + 6t4 = -11t + 11t + -14t2 + 7t3 + 6t4

Combine like terms: -11t + 11t = 0
-14t2 + 7t3 + 6t4 = 0 + -14t2 + 7t3 + 6t4
-14t2 + 7t3 + 6t4 = -14t2 + 7t3 + 6t4

Add '14t2' to each side of the equation.
-14t2 + 7t3 + 14t2 + 6t4 = -14t2 + 7t3 + 14t2 + 6t4

Reorder the terms:
-14t2 + 14t2 + 7t3 + 6t4 = -14t2 + 7t3 + 14t2 + 6t4

Combine like terms: -14t2 + 14t2 = 0
0 + 7t3 + 6t4 = -14t2 + 7t3 + 14t2 + 6t4
7t3 + 6t4 = -14t2 + 7t3 + 14t2 + 6t4

Reorder the terms:
7t3 + 6t4 = -14t2 + 14t2 + 7t3 + 6t4

Combine like terms: -14t2 + 14t2 = 0
7t3 + 6t4 = 0 + 7t3 + 6t4
7t3 + 6t4 = 7t3 + 6t4

Add '-7t3' to each side of the equation.
7t3 + -7t3 + 6t4 = 7t3 + -7t3 + 6t4

Combine like terms: 7t3 + -7t3 = 0
0 + 6t4 = 7t3 + -7t3 + 6t4
6t4 = 7t3 + -7t3 + 6t4

Combine like terms: 7t3 + -7t3 = 0
6t4 = 0 + 6t4
6t4 = 6t4

Add '-6t4' to each side of the equation.
6t4 + -6t4 = 6t4 + -6t4

Combine like terms: 6t4 + -6t4 = 0
0 = 6t4 + -6t4

Combine like terms: 6t4 + -6t4 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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