16x^4-225=0

Solution for 16x^4-225=0 equation:

Simplifying
16x4 + -225 = 0

Reorder the terms:
-225 + 16x4 = 0

Solving
-225 + 16x4 = 0

Solving for variable 'x'.

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

Add '225' to each side of the equation.
-225 + 225 + 16x4 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + 16x4 = 0 + 225
16x4 = 0 + 225

Combine like terms: 0 + 225 = 225
16x4 = 225

Divide each side by '16'.
x4 = 14.0625

Simplifying
x4 = 14.0625

Reorder the terms:
-14.0625 + x4 = 14.0625 + -14.0625

Combine like terms: 14.0625 + -14.0625 = 0.0000
-14.0625 + x4 = 0.0000

Factor a difference between two squares.
(3.75 + x2)(-3.75 + x2) = 0.0000

Subproblem 1
Set the factor '(3.75 + x2)' equal to zero and attempt to solve:

Simplifying
3.75 + x2 = 0

Solving
3.75 + x2 = 0

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

Add '-3.75' to each side of the equation.
3.75 + -3.75 + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + x2 = 0 + -3.75
x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
x2 = -3.75

Simplifying
x2 = -3.75

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 '(-3.75 + x2)' equal to zero and attempt to solve:

Simplifying
-3.75 + x2 = 0

Solving
-3.75 + x2 = 0

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

Add '3.75' to each side of the equation.
-3.75 + 3.75 + x2 = 0 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + x2 = 0 + 3.75
x2 = 0 + 3.75

Combine like terms: 0 + 3.75 = 3.75
x2 = 3.75

Simplifying
x2 = 3.75

Take the square root of each side:
x = {-1.936491673, 1.936491673}
Solution
x = {-1.936491673, 1.936491673}