64x^4-81=0

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Solution for 64x^4-81=0 equation: 


Simplifying
64x4 + -81 = 0

Reorder the terms:
-81 + 64x4 = 0

Solving
-81 + 64x4 = 0

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + 64x4 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 64x4 = 0 + 81
64x4 = 0 + 81

Combine like terms: 0 + 81 = 81
64x4 = 81

Divide each side by '64'.
x4 = 1.265625

Simplifying
x4 = 1.265625

Reorder the terms:
-1.265625 + x4 = 1.265625 + -1.265625

Combine like terms: 1.265625 + -1.265625 = 0.000000
-1.265625 + x4 = 0.000000

Factor a difference between two squares.
(1.125 + x2)(-1.125 + x2) = 0.000000


Subproblem 1
Set the factor '(1.125 + x2)' equal to zero and attempt to solve:

Simplifying
1.125 + x2 = 0

Solving
1.125 + x2 = 0

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

Add '-1.125' to each side of the equation.
1.125 + -1.125 + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + x2 = 0 + -1.125
x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
x2 = -1.125

Simplifying
x2 = -1.125

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 '(-1.125 + x2)' equal to zero and attempt to solve:

Simplifying
-1.125 + x2 = 0

Solving
-1.125 + x2 = 0

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + x2 = 0 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + x2 = 0 + 1.125
x2 = 0 + 1.125

Combine like terms: 0 + 1.125 = 1.125
x2 = 1.125

Simplifying
x2 = 1.125

Take the square root of each side:
x = {-1.060660172, 1.060660172}
Solution
x = {-1.060660172, 1.060660172}

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