(3h+1)(h+1)=

Solution for (3h+1)(h+1)= equation:

Simplifying
(3h + 1)(h + 1) = 0

Reorder the terms:
(1 + 3h)(h + 1) = 0

Reorder the terms:
(1 + 3h)(1 + h) = 0

Multiply (1 + 3h) * (1 + h)
(1(1 + h) + 3h * (1 + h)) = 0
((1 * 1 + h * 1) + 3h * (1 + h)) = 0
((1 + 1h) + 3h * (1 + h)) = 0
(1 + 1h + (1 * 3h + h * 3h)) = 0
(1 + 1h + (3h + 3h2)) = 0

Combine like terms: 1h + 3h = 4h
(1 + 4h + 3h2) = 0

Solving
1 + 4h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + h)(1 + 3h) = 0

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

Simplifying
1 + h = 0

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

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

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

Simplifying
h = -1
Subproblem 2
Set the factor '(1 + 3h)' equal to zero and attempt to solve:

Simplifying
1 + 3h = 0

Solving
1 + 3h = 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 + 3h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3h = 0 + -1
3h = 0 + -1

Combine like terms: 0 + -1 = -1
3h = -1

Divide each side by '3'.
h = -0.3333333333

Simplifying
h = -0.3333333333
Solution
h = {-1, -0.3333333333}