64x^4-9=0

Solution for 64x^4-9=0 equation:

Simplifying
64x4 + -9 = 0

Reorder the terms:
-9 + 64x4 = 0

Solving
-9 + 64x4 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 64x4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 64x4 = 0 + 9
64x4 = 0 + 9

Combine like terms: 0 + 9 = 9
64x4 = 9

Divide each side by '64'.
x4 = 0.140625

Simplifying
x4 = 0.140625

Reorder the terms:
-0.140625 + x4 = 0.140625 + -0.140625

Combine like terms: 0.140625 + -0.140625 = 0.000000
-0.140625 + x4 = 0.000000

Factor a difference between two squares.
(0.375 + x2)(-0.375 + x2) = 0.000000

Subproblem 1
Set the factor '(0.375 + x2)' equal to zero and attempt to solve:

Simplifying
0.375 + x2 = 0

Solving
0.375 + x2 = 0

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x2 = 0 + -0.375
x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
x2 = -0.375

Simplifying
x2 = -0.375

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 '(-0.375 + x2)' equal to zero and attempt to solve:

Simplifying
-0.375 + x2 = 0

Solving
-0.375 + x2 = 0

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x2 = 0 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x2 = 0 + 0.375
x2 = 0 + 0.375

Combine like terms: 0 + 0.375 = 0.375
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}