.5(18+4h)h=26

Solution for .5(18+4h)h=26 equation:

Simplifying
0.5(18 + 4h) * h = 26

Reorder the terms for easier multiplication:
0.5h(18 + 4h) = 26
(18 * 0.5h + 4h * 0.5h) = 26
(9h + 2h2) = 26

Solving
9h + 2h2 = 26

Solving for variable 'h'.

Reorder the terms:
-26 + 9h + 2h2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + 9h + 2h2 = 0

Factor a trinomial.
(-13 + -2h)(2 + -1h) = 0

Subproblem 1
Set the factor '(-13 + -2h)' equal to zero and attempt to solve:

Simplifying
-13 + -2h = 0

Solving
-13 + -2h = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2h = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2h = 0 + 13
-2h = 0 + 13

Combine like terms: 0 + 13 = 13
-2h = 13

Divide each side by '-2'.
h = -6.5

Simplifying
h = -6.5
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 = {-6.5, 2}