Solve the equation: x2 + 5x − 2 = 0

 x2 + 5x − 2 = 0

add 2 to both sides you get 
x2+5x=2

subtract x2 from 5x 
3x=2

Let's solve your equation step-by-step.
x2+5x−2=0
Step 1: Use quadratic formula with a=1, b=5, c=-2.
x
=
−
b
±
b
2
−
4
a
c
2
a
x
=
−
(
5
)
±
(
5
)
2
−
4
(
1
)
(
−
2
)
2
(
1
)
x
=
−
5
±
33
2
x
=
−
5
2
+
1
2
33
or
x
=
−
5
2
+
−
1
2
33

x
=
−
5
2
+
1
2
33
or
x
=
−
5
2
+
−
1
2
33