8x^4+0x^3+5x^2-3=0

Solution for 8x^4+0x^3+5x^2-3=0 equation:

Simplifying
8x4 + 0x3 + 5x2 + -3 = 0

Anything times zero is zero.
8x4 + 0x3 + 5x2 + -3 = 0

Reorder the terms:
0 + -3 + 5x2 + 8x4 = 0

Combine like terms: 0 + -3 = -3
-3 + 5x2 + 8x4 = 0

Solving
-3 + 5x2 + 8x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x2)(3 + -8x2) = 0

Subproblem 1
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 2
Set the factor '(3 + -8x2)' equal to zero and attempt to solve:

Simplifying
3 + -8x2 = 0

Solving
3 + -8x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x2 = 0 + -3
-8x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-8x2 = -3

Divide each side by '-8'.
x2 = 0.375

Simplifying
x2 = 0.375

Take the square root of each side:
x = {-0.612372436, 0.612372436}
Solution
x = {-0.612372436, 0.612372436}