The equation is .
(Add 30 to each side) \ \
In this trinomial, . Since c and b are positive signs, you need to find two positive factors with a sum of 19 and a product of
.
(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.
\ (Add 5 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Apply additive identity property:
)
(Divide each side by negative 4)
. (Cancel common terms)
(Add 6 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
. (Subtract:
)
The solution of is
.