5h^2+26h+5=

Solution for 5h^2+26h+5= equation:

Simplifying
5h2 + 26h + 5 = 0

Reorder the terms:
5 + 26h + 5h2 = 0

Solving
5 + 26h + 5h2 = 0

Solving for variable 'h'.

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

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

Simplifying
5 + h = 0

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

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

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

Simplifying
h = -5
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 = {-5, -0.2}