100x^4-81=0

Solution for 100x^4-81=0 equation:

Simplifying
100x4 + -81 = 0

Reorder the terms:
-81 + 100x4 = 0

Solving
-81 + 100x4 = 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 + 100x4 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 100x4 = 0 + 81
100x4 = 0 + 81

Combine like terms: 0 + 81 = 81
100x4 = 81

Divide each side by '100'.
x4 = 0.81

Simplifying
x4 = 0.81

Reorder the terms:
-0.81 + x4 = 0.81 + -0.81

Combine like terms: 0.81 + -0.81 = 0.00
-0.81 + x4 = 0.00

Factor a difference between two squares.
(0.9 + x2)(-0.9 + x2) = 0.00

Subproblem 1
Set the factor '(0.9 + x2)' equal to zero and attempt to solve:

Simplifying
0.9 + x2 = 0

Solving
0.9 + x2 = 0

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + x2 = 0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + x2 = 0 + -0.9
x2 = 0 + -0.9

Combine like terms: 0 + -0.9 = -0.9
x2 = -0.9

Simplifying
x2 = -0.9

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 '(-0.9 + x2)' equal to zero and attempt to solve:

Simplifying
-0.9 + x2 = 0

Solving
-0.9 + x2 = 0

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

Add '0.9' to each side of the equation.
-0.9 + 0.9 + x2 = 0 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + x2 = 0 + 0.9
x2 = 0 + 0.9

Combine like terms: 0 + 0.9 = 0.9
x2 = 0.9

Simplifying
x2 = 0.9

Take the square root of each side:
x = {-0.948683298, 0.948683298}
Solution
x = {-0.948683298, 0.948683298}