-9-125u^2+2500u^4=0

Solution for -9-125u^2+2500u^4=0 equation:

Simplifying
-9 + -125u2 + 2500u4 = 0

Solving
-9 + -125u2 + 2500u4 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -25u2)(9 + -100u2) = 0

Factor a difference between two squares.
(-1 + -25u2)((3 + 10u)(3 + -10u)) = 0

Subproblem 1
Set the factor '(-1 + -25u2)' equal to zero and attempt to solve:

Simplifying
-1 + -25u2 = 0

Solving
-1 + -25u2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -25u2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -25u2 = 0 + 1
-25u2 = 0 + 1

Combine like terms: 0 + 1 = 1
-25u2 = 1

Divide each side by '-25'.
u2 = -0.04

Simplifying
u2 = -0.04

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + 10u)' equal to zero and attempt to solve:

Simplifying
3 + 10u = 0

Solving
3 + 10u = 0

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

Add '-3' to each side of the equation.
3 + -3 + 10u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10u = 0 + -3
10u = 0 + -3

Combine like terms: 0 + -3 = -3
10u = -3

Divide each side by '10'.
u = -0.3

Simplifying
u = -0.3
Subproblem 3
Set the factor '(3 + -10u)' equal to zero and attempt to solve:

Simplifying
3 + -10u = 0

Solving
3 + -10u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -10u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10u = 0 + -3
-10u = 0 + -3

Combine like terms: 0 + -3 = -3
-10u = -3

Divide each side by '-10'.
u = 0.3

Simplifying
u = 0.3
Solution
u = {-0.3, 0.3}