Solve the literal equation:
Z = 4x/Y^2 + 3W for X

Answer:
Z = 4X / Y^2 + 3W
Z - 3W = 4X / Y^2
(Z - 3W) * Y^2 = 4X
1/4 * (Z - 3W) * Y^2 = X
X = 1/4 * (Z - 3W) * Y^2
Subtract [tex] 3w [/tex] from both sides:
[tex] z-3w = \dfrac{4x}{y^2} [/tex]
Multiply both sides by [tex] y^2 [/tex]:
[tex] y^2(z-3w) = 4x [/tex]
Divide both sides by 4:
[tex] \dfrac{y^2(z-3w)}{4} = x [/tex]