18s^4-39s^2+20=

Solution for 18s^4-39s^2+20= equation:

Simplifying
18s4 + -39s2 + 20 = 0

Reorder the terms:
20 + -39s2 + 18s4 = 0

Solving
20 + -39s2 + 18s4 = 0

Solving for variable 's'.

Factor a trinomial.
(5 + -6s2)(4 + -3s2) = 0

Subproblem 1
Set the factor '(5 + -6s2)' equal to zero and attempt to solve:

Simplifying
5 + -6s2 = 0

Solving
5 + -6s2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6s2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6s2 = 0 + -5
-6s2 = 0 + -5

Combine like terms: 0 + -5 = -5
-6s2 = -5

Divide each side by '-6'.
s2 = 0.8333333333

Simplifying
s2 = 0.8333333333

Take the square root of each side:
s = {-0.912870929, 0.912870929}
Subproblem 2
Set the factor '(4 + -3s2)' equal to zero and attempt to solve:

Simplifying
4 + -3s2 = 0

Solving
4 + -3s2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3s2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3s2 = 0 + -4
-3s2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3s2 = -4

Divide each side by '-3'.
s2 = 1.333333333

Simplifying
s2 = 1.333333333

Take the square root of each side:
s = {-1.154700538, 1.154700538}
Solution
s = {-0.912870929, 0.912870929, -1.154700538, 1.154700538}