(sin(v)-1)(3sin(v)-4)=0

Solution for (sin(v)-1)(3sin(v)-4)=0 equation:

Simplifying
(sin(v) + -1)(3sin(v) + -4) = 0

Multiply ins * v
(insv + -1)(3sin(v) + -4) = 0

Reorder the terms:
(-1 + insv)(3sin(v) + -4) = 0

Multiply ins * v
(-1 + insv)(3insv + -4) = 0

Reorder the terms:
(-1 + insv)(-4 + 3insv) = 0

Multiply (-1 + insv) * (-4 + 3insv)
(-1(-4 + 3insv) + insv(-4 + 3insv)) = 0
((-4 * -1 + 3insv * -1) + insv(-4 + 3insv)) = 0
((4 + -3insv) + insv(-4 + 3insv)) = 0
(4 + -3insv + (-4 * insv + 3insv * insv)) = 0
(4 + -3insv + (-4insv + 3i2n2s2v2)) = 0

Combine like terms: -3insv + -4insv = -7insv
(4 + -7insv + 3i2n2s2v2) = 0

Solving
4 + -7insv + 3i2n2s2v2 = 0

Solving for variable 'i'.

Factor a trinomial.
(1 + -1insv)(4 + -3insv) = 0

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

Simplifying
1 + -1insv = 0

Solving
1 + -1insv = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1insv = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1insv = 0 + -1
-1insv = 0 + -1

Combine like terms: 0 + -1 = -1
-1insv = -1

Divide each side by '-1nsv'.
i = n-1s-1v-1

Simplifying
i = n-1s-1v-1
Subproblem 2
Set the factor '(4 + -3insv)' equal to zero and attempt to solve:

Simplifying
4 + -3insv = 0

Solving
4 + -3insv = 0

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

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

Combine like terms: 4 + -4 = 0
0 + -3insv = 0 + -4
-3insv = 0 + -4

Combine like terms: 0 + -4 = -4
-3insv = -4

Divide each side by '-3nsv'.
i = 1.333333333n-1s-1v-1

Simplifying
i = 1.333333333n-1s-1v-1
Solution
i = {n-1s-1v-1, 1.333333333n-1s-1v-1}