(-1x^2)+(2x^4)=

Solution for (-1x^2)+(2x^4)= equation:

Simplifying
(-1x2) + (2x4) = 0

Solving
(-1x2) + (2x4) = 0

Solving for variable 'x'.

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

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 + (2x2))' equal to zero and attempt to solve:

Simplifying
-1 + (2x2) = 0

Solving
-1 + (2x2) = 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 + (2x2) = 0 + 1

Combine like terms: -1 + 1 = 0
0 + (2x2) = 0 + 1
(2x2) = 0 + 1

Combine like terms: 0 + 1 = 1
(2x2) = 1

Divide each side by '2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}
Solution
x = {0, -0.707106781, 0.707106781}