144-575x^2-4x^4=0

Solution for 144-575x^2-4x^4=0 equation:

Simplifying
144 + -575x2 + -4x4 = 0

Solving
144 + -575x2 + -4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -4x2)(144 + x2) = 0

Factor a difference between two squares.
((1 + 2x)(1 + -2x))(144 + x2) = 0

Subproblem 1
Set the factor '(144 + x2)' equal to zero and attempt to solve:

Simplifying
144 + x2 = 0

Solving
144 + x2 = 0

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

Add '-144' to each side of the equation.
144 + -144 + x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + x2 = 0 + -144
x2 = 0 + -144

Combine like terms: 0 + -144 = -144
x2 = -144

Simplifying
x2 = -144

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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.5, 0.5}