(10x^6)+(8x^4)=(2x^2)

Solution for (10x^6)+(8x^4)=(2x^2) equation:

Simplifying
(10x6) + (8x4) = (2x2)

Reorder the terms:
(8x4) + (10x6) = (2x2)

Solving
(8x4) + (10x6) = (2x2)

Solving for variable 'x'.

Reorder the terms:
(-2x2) + (8x4) + (10x6) = (2x2) + (-2x2)

Combine like terms: (2x2) + (-2x2) = 0
(-2x2) + (8x4) + (10x6) = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-1 + (4x2) + (5x4)) = 0

Factor a trinomial.
2x2((-1 + -1x2)(1 + -5x2)) = 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 '(-1 + -1x2)' equal to zero and attempt to solve:

Simplifying
-1 + -1x2 = 0

Solving
-1 + -1x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x2 = 0 + 1
-1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x2 = 1

Divide each side by '-1'.
x2 = -1

Simplifying
x2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(1 + -5x2)' equal to zero and attempt to solve:

Simplifying
1 + -5x2 = 0

Solving
1 + -5x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x2 = 0 + -1
-5x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-5x2 = -1

Divide each side by '-5'.
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}
Solution
x = {0, -0.447213596, 0.447213596}