5h^2+47h+18=

Solution for 5h^2+47h+18= equation:

Simplifying
5h2 + 47h + 18 = 0

Reorder the terms:
18 + 47h + 5h2 = 0

Solving
18 + 47h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(9 + h)(2 + 5h) = 0

Subproblem 1
Set the factor '(9 + h)' equal to zero and attempt to solve:

Simplifying
9 + h = 0

Solving
9 + h = 0

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

Add '-9' to each side of the equation.
9 + -9 + h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + h = 0 + -9
h = 0 + -9

Combine like terms: 0 + -9 = -9
h = -9

Simplifying
h = -9
Subproblem 2
Set the factor '(2 + 5h)' equal to zero and attempt to solve:

Simplifying
2 + 5h = 0

Solving
2 + 5h = 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 + 5h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5h = 0 + -2
5h = 0 + -2

Combine like terms: 0 + -2 = -2
5h = -2

Divide each side by '5'.
h = -0.4

Simplifying
h = -0.4
Solution
h = {-9, -0.4}