.5(2h+2)(h)=6

Solution for .5(2h+2)(h)=6 equation:

Simplifying
0.5(2h + 2)(h) = 6

Reorder the terms:
0.5(2 + 2h)(h) = 6

Reorder the terms for easier multiplication:
0.5h(2 + 2h) = 6
(2 * 0.5h + 2h * 0.5h) = 6
(1h + 1h2) = 6

Solving
1h + 1h2 = 6

Solving for variable 'h'.

Reorder the terms:
-6 + 1h + 1h2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 1h + 1h2 = 0

Factor a trinomial.
(-3 + -1h)(2 + -1h) = 0

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

Simplifying
-3 + -1h = 0

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

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

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

Divide each side by '-1'.
h = -3

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

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h = 0 + -2

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

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

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {-3, 2}