h^2-30h+144=0

Solution for h^2-30h+144=0 equation:

Simplifying
h2 + -30h + 144 = 0

Reorder the terms:
144 + -30h + h2 = 0

Solving
144 + -30h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6 + -1h)(24 + -1h) = 0

Subproblem 1
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Subproblem 2
Set the factor '(24 + -1h)' equal to zero and attempt to solve:

Simplifying
24 + -1h = 0

Solving
24 + -1h = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1h = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1h = 0 + -24
-1h = 0 + -24

Combine like terms: 0 + -24 = -24
-1h = -24

Divide each side by '-1'.
h = 24

Simplifying
h = 24
Solution
h = {6, 24}