(n+2)(2n+9)=2n^2+13n+18

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Solution for (n+2)(2n+9)=2n^2+13n+18 equation: 


Simplifying
(n + 2)(2n + 9) = 2n2 + 13n + 18

Reorder the terms:
(2 + n)(2n + 9) = 2n2 + 13n + 18

Reorder the terms:
(2 + n)(9 + 2n) = 2n2 + 13n + 18

Multiply (2 + n) * (9 + 2n)
(2(9 + 2n) + n(9 + 2n)) = 2n2 + 13n + 18
((9 * 2 + 2n * 2) + n(9 + 2n)) = 2n2 + 13n + 18
((18 + 4n) + n(9 + 2n)) = 2n2 + 13n + 18
(18 + 4n + (9 * n + 2n * n)) = 2n2 + 13n + 18
(18 + 4n + (9n + 2n2)) = 2n2 + 13n + 18

Combine like terms: 4n + 9n = 13n
(18 + 13n + 2n2) = 2n2 + 13n + 18

Reorder the terms:
18 + 13n + 2n2 = 18 + 13n + 2n2

Add '-18' to each side of the equation.
18 + 13n + -18 + 2n2 = 18 + 13n + -18 + 2n2

Reorder the terms:
18 + -18 + 13n + 2n2 = 18 + 13n + -18 + 2n2

Combine like terms: 18 + -18 = 0
0 + 13n + 2n2 = 18 + 13n + -18 + 2n2
13n + 2n2 = 18 + 13n + -18 + 2n2

Reorder the terms:
13n + 2n2 = 18 + -18 + 13n + 2n2

Combine like terms: 18 + -18 = 0
13n + 2n2 = 0 + 13n + 2n2
13n + 2n2 = 13n + 2n2

Add '-13n' to each side of the equation.
13n + -13n + 2n2 = 13n + -13n + 2n2

Combine like terms: 13n + -13n = 0
0 + 2n2 = 13n + -13n + 2n2
2n2 = 13n + -13n + 2n2

Combine like terms: 13n + -13n = 0
2n2 = 0 + 2n2
2n2 = 2n2

Add '-2n2' to each side of the equation.
2n2 + -2n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
0 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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