Solve by factoring
7
k
2
−
3
=
−
k
+
5
Rearrange the terms
Rearrange all nonzero terms to the left side of the equation
7
k
2
−
3
+
k
−
5
=
0
7
k
2
−
3
+
k
−
5
=
0
Combine like terms
Combine like terms
7
k
2
−
8
+
k
=
0
7
k
2
−
8
+
k
=
0
Rearrange the terms
Rearrange the terms in descending order
7
k
2
+
k
−
8
=
0
7
k
2
+
k
−
8
=
0
Split the middle term
Split the middle term into two terms
7
k
2
−
7
k
+
8
k
−
8
=
0
7
k
2
−
7
k
+
8
k
−
8
=
0
Factorize
Factor the first two terms and the last two terms separately
7
k
(
k
−
1
)
+
8
(
k
−
1
)
=
0
7
k
(
k
−
1
)
+
8
(
k
−
1
)
=
0
Factor out
Factor out
(
k
−
1
)
(
7
k
+
8
)
=
0
(
k
−
1
)
(
7
k
+
8
)
=
0
Apply Zero Product Property
Apply Zero Product Property
k
−
1
=
0
or
7
k
+
8
=
0
k
−
1
=
0
or
7
k
+
8
=
0
More steps
Show more steps
k
−
1
=
0
Rearrange variables to the left side of the equation
k
=
1
7
k
+
8
=
0
Rearrange variables to the left side of the equation
7
k
=
−
8
Divide both sides of the equation by the coefficient of variable
k
=
−
7
8
Divide both sides of the equation by the coefficient of variable
k
=
−
7
8
k
=
1
or
k
=
−
7
8
Answer
k
=
1
or
k
=
−
7
8