Answer:
2
(
n
+
2
)
(
n
+
1
2
)
Step-by-step explanation:
coefficient of the first term:
2
=
2
×
1
coefficient of the last term:
2
=
2
×
1
coefficient of the middle term (using only the factors above):
5
=
2
×
2
+
1
×
1
2
n
2
+
5
n
+
2
=
(
2
n
+
1
)
(
n
+
2
)
Alternative method:
Treat the given expression as a quadratic set equal to zero, with the form
a
n
2
+
b
n
+
c
and use the quadratic formula
−
b
±
√
b
2
−
4
a
c
2
a
This will given solutions
n
=
−
2 and n
=
−
1
2
for a factoring
2
(
n
+
2
)
(
n
+
1
2
)
Hope this helped
First divide both sides of the equation by -3, then add 3x to both sides of the equation.
-3x + y = -1
y = 3x + 1
Combine the terms by multiplying into a single fraction.
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Combine the multiplied terms into a single fraction
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Eliminate the denominators of the fractions.
Cancel the multiplied terms that are in the denominator.
To distribute.
Add 28 to both sides.
Simplify
Subtract 3x from both sides.
Simplify
Divide both sides by the same factor.
Simplify
↓
<h3>Verification</h3>
Let x=12.
Checked ✅