5h^2-30h+25=0

Solution for 5h^2-30h+25=0 equation:

Simplifying
5h2 + -30h + 25 = 0

Reorder the terms:
25 + -30h + 5h2 = 0

Solving
25 + -30h + 5h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -6h + h2) = 0

Factor a trinomial.
5((1 + -1h)(5 + -1h)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1h)' equal to zero and attempt to solve:

Simplifying
5 + -1h = 0

Solving
5 + -1h = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1h = 0 + -5
-1h = 0 + -5

Combine like terms: 0 + -5 = -5
-1h = -5

Divide each side by '-1'.
h = 5

Simplifying
h = 5
Solution
h = {1, 5}