3w^2=4w*2w^2

Solution for 3w^2=4w*2w^2 equation:

Simplifying
3w2 = 4w * 2w2

Reorder the terms for easier multiplication:
3w2 = 4 * 2w * w2

Multiply 4 * 2
3w2 = 8w * w2

Multiply w * w2
3w2 = 8w3

Solving
3w2 = 8w3

Solving for variable 'w'.

Combine like terms: 8w3 + -8w3 = 0
3w2 + -8w3 = 0

Factor out the Greatest Common Factor (GCF), 'w2'.
w2(3 + -8w) = 0

Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Simplifying
w2 = 0

Take the square root of each side:
w = {0}
Subproblem 2
Set the factor '(3 + -8w)' equal to zero and attempt to solve:

Simplifying
3 + -8w = 0

Solving
3 + -8w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8w = 0 + -3
-8w = 0 + -3

Combine like terms: 0 + -3 = -3
-8w = -3

Divide each side by '-8'.
w = 0.375

Simplifying
w = 0.375
Solution
w = {0, 0.375}