(4x-3tv^2)(x+2tv^2)=0

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Solution for (4x-3tv^2)(x+2tv^2)=0 equation: 


Simplifying
(4x + -3tv2)(x + 2tv2) = 0

Reorder the terms:
(-3tv2 + 4x)(x + 2tv2) = 0

Reorder the terms:
(-3tv2 + 4x)(2tv2 + x) = 0

Multiply (-3tv2 + 4x) * (2tv2 + x)
(-3tv2 * (2tv2 + x) + 4x * (2tv2 + x)) = 0
((2tv2 * -3tv2 + x * -3tv2) + 4x * (2tv2 + x)) = 0

Reorder the terms:
((-3tv2x + -6t2v4) + 4x * (2tv2 + x)) = 0
((-3tv2x + -6t2v4) + 4x * (2tv2 + x)) = 0
(-3tv2x + -6t2v4 + (2tv2 * 4x + x * 4x)) = 0
(-3tv2x + -6t2v4 + (8tv2x + 4x2)) = 0

Reorder the terms:
(-3tv2x + 8tv2x + -6t2v4 + 4x2) = 0

Combine like terms: -3tv2x + 8tv2x = 5tv2x
(5tv2x + -6t2v4 + 4x2) = 0

Solving
5tv2x + -6t2v4 + 4x2 = 0

Solving for variable 't'.

Factor a trinomial.
(-2tv2 + -1x)(3tv2 + -4x) = 0


Subproblem 1
Set the factor '(-2tv2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2tv2 + -1x = 0

Solving
-2tv2 + -1x = 0

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

Add 'x' to each side of the equation.
-2tv2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-2tv2 + 0 = 0 + x
-2tv2 = 0 + x
Remove the zero:
-2tv2 = x

Divide each side by '-2v2'.
t = -0.5v-2x

Simplifying
t = -0.5v-2x

Subproblem 2
Set the factor '(3tv2 + -4x)' equal to zero and attempt to solve:

Simplifying
3tv2 + -4x = 0

Solving
3tv2 + -4x = 0

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

Add '4x' to each side of the equation.
3tv2 + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
3tv2 + 0 = 0 + 4x
3tv2 = 0 + 4x
Remove the zero:
3tv2 = 4x

Divide each side by '3v2'.
t = 1.333333333v-2x

Simplifying
t = 1.333333333v-2x
Solution
t = {-0.5v-2x, 1.333333333v-2x}

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