5h^2+49h-10=0

Solution for 5h^2+49h-10=0 equation:

Simplifying
5h2 + 49h + -10 = 0

Reorder the terms:
-10 + 49h + 5h2 = 0

Solving
-10 + 49h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-10 + -1h)(1 + -5h) = 0

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

Simplifying
1 + -5h = 0

Solving
1 + -5h = 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 + -5h = 0 + -1

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

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

Divide each side by '-5'.
h = 0.2

Simplifying
h = 0.2
Solution
h = {-10, 0.2}