64x^4-49=

Solution for 64x^4-49= equation:

Simplifying
64x4 + -49 = 0

Reorder the terms:
-49 + 64x4 = 0

Solving
-49 + 64x4 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 64x4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 64x4 = 0 + 49
64x4 = 0 + 49

Combine like terms: 0 + 49 = 49
64x4 = 49

Divide each side by '64'.
x4 = 0.765625

Simplifying
x4 = 0.765625

Reorder the terms:
-0.765625 + x4 = 0.765625 + -0.765625

Combine like terms: 0.765625 + -0.765625 = 0.000000
-0.765625 + x4 = 0.000000

Factor a difference between two squares.
(0.875 + x2)(-0.875 + x2) = 0.000000

Subproblem 1
Set the factor '(0.875 + x2)' equal to zero and attempt to solve:

Simplifying
0.875 + x2 = 0

Solving
0.875 + x2 = 0

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

Add '-0.875' to each side of the equation.
0.875 + -0.875 + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + x2 = 0 + -0.875
x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
x2 = -0.875

Simplifying
x2 = -0.875

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 '(-0.875 + x2)' equal to zero and attempt to solve:

Simplifying
-0.875 + x2 = 0

Solving
-0.875 + x2 = 0

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

Add '0.875' to each side of the equation.
-0.875 + 0.875 + x2 = 0 + 0.875

Combine like terms: -0.875 + 0.875 = 0.000
0.000 + x2 = 0 + 0.875
x2 = 0 + 0.875

Combine like terms: 0 + 0.875 = 0.875
x2 = 0.875

Simplifying
x2 = 0.875

Take the square root of each side:
x = {-0.935414347, 0.935414347}
Solution
x = {-0.935414347, 0.935414347}