4h^2-39h-10=0

Solution for 4h^2-39h-10=0 equation:

Simplifying
4h2 + -39h + -10 = 0

Reorder the terms:
-10 + -39h + 4h2 = 0

Solving
-10 + -39h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -4h)(10 + -1h) = 0

Subproblem 1
Set the factor '(-1 + -4h)' equal to zero and attempt to solve:

Simplifying
-1 + -4h = 0

Solving
-1 + -4h = 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 + -4h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4h = 0 + 1
-4h = 0 + 1

Combine like terms: 0 + 1 = 1
-4h = 1

Divide each side by '-4'.
h = -0.25

Simplifying
h = -0.25
Subproblem 2
Set the factor '(10 + -1h)' equal to zero and attempt to solve:

Simplifying
10 + -1h = 0

Solving
10 + -1h = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1h = 0 + -10
-1h = 0 + -10

Combine like terms: 0 + -10 = -10
-1h = -10

Divide each side by '-1'.
h = 10

Simplifying
h = 10
Solution
h = {-0.25, 10}