3=h(h+2)

Solution for 3=h(h+2) equation:

Simplifying
3 = h(h + 2)

Reorder the terms:
3 = h(2 + h)
3 = (2 * h + h * h)
3 = (2h + h2)

Solving
3 = 2h + h2

Solving for variable 'h'.

Reorder the terms:
3 + -2h + -1h2 = 2h + -2h + h2 + -1h2

Combine like terms: 2h + -2h = 0
3 + -2h + -1h2 = 0 + h2 + -1h2
3 + -2h + -1h2 = h2 + -1h2

Combine like terms: h2 + -1h2 = 0
3 + -2h + -1h2 = 0

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

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

Simplifying
1 + -1h = 0

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

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

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

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

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

Simplifying
3 + h = 0

Solving
3 + h = 0

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

Add '-3' to each side of the equation.
3 + -3 + h = 0 + -3

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

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

Simplifying
h = -3
Solution
h = {1, -3}