(5h+1)(h+6)=0

Solution for (5h+1)(h+6)=0 equation:

Simplifying
(5h + 1)(h + 6) = 0

Reorder the terms:
(1 + 5h)(h + 6) = 0

Reorder the terms:
(1 + 5h)(6 + h) = 0

Multiply (1 + 5h) * (6 + h)
(1(6 + h) + 5h * (6 + h)) = 0
((6 * 1 + h * 1) + 5h * (6 + h)) = 0
((6 + 1h) + 5h * (6 + h)) = 0
(6 + 1h + (6 * 5h + h * 5h)) = 0
(6 + 1h + (30h + 5h2)) = 0

Combine like terms: 1h + 30h = 31h
(6 + 31h + 5h2) = 0

Solving
6 + 31h + 5h2 = 0

Solving for variable 'h'.

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

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

Simplifying
6 + h = 0

Solving
6 + h = 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 + h = 0 + -6

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

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

Simplifying
h = -6
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 = {-6, -0.2}