100z^4-9=

Solution for 100z^4-9= equation:

Simplifying
100z4 + -9 = 0

Reorder the terms:
-9 + 100z4 = 0

Solving
-9 + 100z4 = 0

Solving for variable 'z'.

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

Add '9' to each side of the equation.
-9 + 9 + 100z4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 100z4 = 0 + 9
100z4 = 0 + 9

Combine like terms: 0 + 9 = 9
100z4 = 9

Divide each side by '100'.
z4 = 0.09

Simplifying
z4 = 0.09

Reorder the terms:
-0.09 + z4 = 0.09 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
-0.09 + z4 = 0.00

Factor a difference between two squares.
(0.3 + z2)(-0.3 + z2) = 0.00

Subproblem 1
Set the factor '(0.3 + z2)' equal to zero and attempt to solve:

Simplifying
0.3 + z2 = 0

Solving
0.3 + z2 = 0

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + z2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + z2 = 0 + -0.3
z2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
z2 = -0.3

Simplifying
z2 = -0.3

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 '(-0.3 + z2)' equal to zero and attempt to solve:

Simplifying
-0.3 + z2 = 0

Solving
-0.3 + z2 = 0

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

Add '0.3' to each side of the equation.
-0.3 + 0.3 + z2 = 0 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + z2 = 0 + 0.3
z2 = 0 + 0.3

Combine like terms: 0 + 0.3 = 0.3
z2 = 0.3

Simplifying
z2 = 0.3

Take the square root of each side:
z = {-0.547722558, 0.547722558}
Solution
z = {-0.547722558, 0.547722558}