The equation is .
Add 18d to each side.
\Apply commutative property: .
The general factor trinomial form is .
In the above trinomial, .
Since c is positive and b is positive, you need to find two positive factors with a sum of 18 and product of 56.
\Make an organized list of the factors of 56, and look for the pair of factors with a sum of 18.
\Apply the pattern form: when
.
because
.
The factor form of equation is .
Apply zero product property: .
Solve the first equation, .
Solve the second equation, .
Check for first solution:
\To check the solution, the value of substitute in original equation,
.
(Solution checks)
Check for second solution:
\To check the solution, the value of substitute in original equation,
.
(Solution checks)
The value of .