z
2
+
2
−
20
=
0
Combine like terms
Combine like terms
z
2
−
18
=
0
z
2
−
18
=
0
Rearrange the terms
Rearrange variables to the left side of the equation
z
2
=
18
z
2
=
18
Separate into possible cases
Split into two equations
z
=
18
or
z
=
−
18
z
=
18
or
z
=
−
18
More steps
Show more steps
z
=
18
Factor and rewrite the radicand in exponential form
z
=
3
2
×
2
Rewrite the expression using
n
ab
=
n
a
⋅
n
b
Rewrite the expression using
n
ab
=
n
a
⋅
n
b
z
=
3
2
×
2
Simplify the radical expression
z
=
3
2
Simplify the radical expression
z
=
3
2
z
=
−
18
Factor and rewrite the radicand in exponential form
z
=
−
3
2
×
2
Rewrite the expression using
n
ab
=
n
a
⋅
n
b
Rewrite the expression using
n
ab
=
n
a
⋅
n
b
z
=
−
3
2
×
2
Simplify the radical expression
z
=
−
3
2
Simplify the radical expression
z
=
−
3
2
z
=
3
2
or
z
=
−
3
2
Answer
z
=
3
2
or
z
=
−
3
2
Drag to see the whole equation