x²+2x+6=0 factorize method
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Answer:
x
2
+
2
x
−
6
=
0
Add
6
to both sides of the equation.
x
2
+
2
x
=
6
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
1
)
2
Add the term to each side of the equation.
x
2
+
2
x
+
(
1
)
2
=
6
+
(
1
)
2
Simplify the equation.
x
2
+
2
x
+
1
=
6
+
(
1
)
2
Simplify
6
+
(
1
)
2
x
2
+
2
x
+
1
=
6
+
1
Add
6
and
1
.
x
2
+
2
x
+
1
=
7
Factor the perfect trinomial square into
(
x
+
1
)
2
.
(
x
+
1
)
2
=
7
Solve the equation for
x
.
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