6h^2-5h-25=0

Solution for 6h^2-5h-25=0 equation:

Simplifying
6h2 + -5h + -25 = 0

Reorder the terms:
-25 + -5h + 6h2 = 0

Solving
-25 + -5h + 6h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -3h)(5 + -2h) = 0

Subproblem 1
Set the factor '(-5 + -3h)' equal to zero and attempt to solve:

Simplifying
-5 + -3h = 0

Solving
-5 + -3h = 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 + -3h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3h = 0 + 5
-3h = 0 + 5

Combine like terms: 0 + 5 = 5
-3h = 5

Divide each side by '-3'.
h = -1.666666667

Simplifying
h = -1.666666667
Subproblem 2
Set the factor '(5 + -2h)' equal to zero and attempt to solve:

Simplifying
5 + -2h = 0

Solving
5 + -2h = 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 + -2h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2h = 0 + -5
-2h = 0 + -5

Combine like terms: 0 + -5 = -5
-2h = -5

Divide each side by '-2'.
h = 2.5

Simplifying
h = 2.5
Solution
h = {-1.666666667, 2.5}