2h-98h^5=

Solution for 2h-98h^5= equation:

Simplifying
2h + -98h5 = 0

Solving
2h + -98h5 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(1 + -49h4) = 0

Factor a difference between two squares.
2h((1 + 7h2)(1 + -7h2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(1 + 7h2)' equal to zero and attempt to solve:

Simplifying
1 + 7h2 = 0

Solving
1 + 7h2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7h2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7h2 = 0 + -1
7h2 = 0 + -1

Combine like terms: 0 + -1 = -1
7h2 = -1

Divide each side by '7'.
h2 = -0.1428571429

Simplifying
h2 = -0.1428571429

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(1 + -7h2)' equal to zero and attempt to solve:

Simplifying
1 + -7h2 = 0

Solving
1 + -7h2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7h2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7h2 = 0 + -1
-7h2 = 0 + -1

Combine like terms: 0 + -1 = -1
-7h2 = -1

Divide each side by '-7'.
h2 = 0.1428571429

Simplifying
h2 = 0.1428571429

Take the square root of each side:
h = {-0.377964473, 0.377964473}
Solution
h = {0, -0.377964473, 0.377964473}