7h^4-9h^3+2h^2=0

Solution for 7h^4-9h^3+2h^2=0 equation:

Simplifying
7h4 + -9h3 + 2h2 = 0

Reorder the terms:
2h2 + -9h3 + 7h4 = 0

Solving
2h2 + -9h3 + 7h4 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h2'.
h2(2 + -9h + 7h2) = 0

Factor a trinomial.
h2((2 + -7h)(1 + -1h)) = 0

Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(2 + -7h)' equal to zero and attempt to solve:

Simplifying
2 + -7h = 0

Solving
2 + -7h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7h = 0 + -2
-7h = 0 + -2

Combine like terms: 0 + -2 = -2
-7h = -2

Divide each side by '-7'.
h = 0.2857142857

Simplifying
h = 0.2857142857
Subproblem 3
Set the factor '(1 + -1h)' equal to zero and attempt to solve:

Simplifying
1 + -1h = 0

Solving
1 + -1h = 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 + -1h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1h = 0 + -1
-1h = 0 + -1

Combine like terms: 0 + -1 = -1
-1h = -1

Divide each side by '-1'.
h = 1

Simplifying
h = 1
Solution
h = {0, 0.2857142857, 1}