h(h+3)=18

Solution for h(h+3)=18 equation:

Simplifying
h(h + 3) = 18

Reorder the terms:
h(3 + h) = 18
(3 * h + h * h) = 18
(3h + h2) = 18

Solving
3h + h2 = 18

Solving for variable 'h'.

Reorder the terms:
-18 + 3h + h2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 3h + h2 = 0

Factor a trinomial.
(-6 + -1h)(3 + -1h) = 0

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

Simplifying
-6 + -1h = 0

Solving
-6 + -1h = 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 + -1h = 0 + 6

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

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

Divide each side by '-1'.
h = -6

Simplifying
h = -6
Subproblem 2
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
Solution
h = {-6, 3}