10x^2+8x^4=

Solution for 10x^2+8x^4= equation:

Simplifying
10x2 + 8x4 = 0

Solving
10x2 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(5 + 4x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(5 + 4x2)' equal to zero and attempt to solve:

Simplifying
5 + 4x2 = 0

Solving
5 + 4x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 = 0 + -5
4x2 = 0 + -5

Combine like terms: 0 + -5 = -5
4x2 = -5

Divide each side by '4'.
x2 = -1.25

Simplifying
x2 = -1.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}