The equation is
.
(Subtract 13y from each side)
(Apply additive inverse property:
)
. (Apply commutative property:
)
In this trinomial,
.Either m or p is negative, but not both.
Since b is negative, the factor with the greater absolute value is also negative.
\List the factors of
, where one factor of each pair is negative.
Look for the
\
Apply the pattern:
.
(Substitute
)
(Apply distributive property:
)
(Apply distributive property:
)
(Apply distributive property:
)
Use the principle of zeroproducts, which says, if ab=0, either a , b or both must be equal to zero.
\
(Subtract 5 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Subtract:
)

(Add 18 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Apply additive identity property:
)
Check:
\To check, substitute
or
in equation
.
(Substitute
)
(Evaluate powers:
)
(Subtract:
)
(Multiply:
)
\
The equation is true.
The roots are
.