3w^2-9w^4=

Solution for 3w^2-9w^4= equation:

Simplifying
3w2 + -9w4 = 0

Solving
3w2 + -9w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w2'.
3w2(1 + -3w2) = 0

Ignore the factor 3.
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 '(1 + -3w2)' equal to zero and attempt to solve:

Simplifying
1 + -3w2 = 0

Solving
1 + -3w2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3w2 = 0 + -1
-3w2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3w2 = -1

Divide each side by '-3'.
w2 = 0.3333333333

Simplifying
w2 = 0.3333333333

Take the square root of each side:
w = {-0.577350269, 0.577350269}
Solution
w = {0, -0.577350269, 0.577350269}