9s^2-3s^4=

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

Simplifying
9s2 + -3s4 = 0

Solving
9s2 + -3s4 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3s2'.
3s2(3 + -1s2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Simplifying
s2 = 0

Take the square root of each side:
s = {0}
Subproblem 2
Set the factor '(3 + -1s2)' equal to zero and attempt to solve:

Simplifying
3 + -1s2 = 0

Solving
3 + -1s2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s2 = 0 + -3
-1s2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1s2 = -3

Divide each side by '-1'.
s2 = 3

Simplifying
s2 = 3

Take the square root of each side:
s = {-1.732050808, 1.732050808}
Solution
s = {0, -1.732050808, 1.732050808}