The equation is .
Subtract 16 from each side.
\Multiply each side by negative one.
\The general quadratic expression form is .
In the above trinomial, .Since
is positive and
is negative, so m and p are both negative.You need to find two negative factors with a sum of
and a product of
.
Make a list of the factors of 48 and look for the of factors with the sum of .
The correct factors are .
Apply the pattern: .
Group terms with common factors.
\Factors the GCF from each group.
\Notice that is common in both groups, so it becomes the GCF.
Apply distributive property: .
The factors form of equation is.
Apply zero product property: .
Solve the first equation, .
Solve the second equation, .
Add 2 to each side.
\Divide each side by 3.
\.
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 .