(2t^2+vx)(3t^2+vx)=0

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


Simplifying
(2t2 + vx)(3t2 + vx) = 0

Multiply (2t2 + vx) * (3t2 + vx)
(2t2 * (3t2 + vx) + vx(3t2 + vx)) = 0
((3t2 * 2t2 + vx * 2t2) + vx(3t2 + vx)) = 0

Reorder the terms:
((2t2vx + 6t4) + vx(3t2 + vx)) = 0
((2t2vx + 6t4) + vx(3t2 + vx)) = 0
(2t2vx + 6t4 + (3t2 * vx + vx * vx)) = 0
(2t2vx + 6t4 + (3t2vx + v2x2)) = 0

Reorder the terms:
(2t2vx + 3t2vx + 6t4 + v2x2) = 0

Combine like terms: 2t2vx + 3t2vx = 5t2vx
(5t2vx + 6t4 + v2x2) = 0

Solving
5t2vx + 6t4 + v2x2 = 0

Solving for variable 't'.

Factor a trinomial.
(3t2 + vx)(2t2 + vx) = 0


Subproblem 1
Set the factor '(3t2 + vx)' equal to zero and attempt to solve:

Simplifying
3t2 + vx = 0

Solving
3t2 + vx = 0

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

Add '-1vx' to each side of the equation.
3t2 + vx + -1vx = 0 + -1vx

Combine like terms: vx + -1vx = 0
3t2 + 0 = 0 + -1vx
3t2 = 0 + -1vx
Remove the zero:
3t2 = -1vx

Divide each side by '3'.
t2 = -0.3333333333vx

Simplifying
t2 = -0.3333333333vx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2t2 + vx)' equal to zero and attempt to solve:

Simplifying
2t2 + vx = 0

Solving
2t2 + vx = 0

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

Add '-1vx' to each side of the equation.
2t2 + vx + -1vx = 0 + -1vx

Combine like terms: vx + -1vx = 0
2t2 + 0 = 0 + -1vx
2t2 = 0 + -1vx
Remove the zero:
2t2 = -1vx

Divide each side by '2'.
t2 = -0.5vx

Simplifying
t2 = -0.5vx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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