(n+3)(2n+3)=(n^2+4)+(n^2+4)

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Solution for (n+3)(2n+3)=(n^2+4)+(n^2+4) equation: 


Simplifying
(n + 3)(2n + 3) = (n2 + 4) + (n2 + 4)

Reorder the terms:
(3 + n)(2n + 3) = (n2 + 4) + (n2 + 4)

Reorder the terms:
(3 + n)(3 + 2n) = (n2 + 4) + (n2 + 4)

Multiply (3 + n) * (3 + 2n)
(3(3 + 2n) + n(3 + 2n)) = (n2 + 4) + (n2 + 4)
((3 * 3 + 2n * 3) + n(3 + 2n)) = (n2 + 4) + (n2 + 4)
((9 + 6n) + n(3 + 2n)) = (n2 + 4) + (n2 + 4)
(9 + 6n + (3 * n + 2n * n)) = (n2 + 4) + (n2 + 4)
(9 + 6n + (3n + 2n2)) = (n2 + 4) + (n2 + 4)

Combine like terms: 6n + 3n = 9n
(9 + 9n + 2n2) = (n2 + 4) + (n2 + 4)

Reorder the terms:
9 + 9n + 2n2 = (4 + n2) + (n2 + 4)

Remove parenthesis around (4 + n2)
9 + 9n + 2n2 = 4 + n2 + (n2 + 4)

Reorder the terms:
9 + 9n + 2n2 = 4 + n2 + (4 + n2)

Remove parenthesis around (4 + n2)
9 + 9n + 2n2 = 4 + n2 + 4 + n2

Reorder the terms:
9 + 9n + 2n2 = 4 + 4 + n2 + n2

Combine like terms: 4 + 4 = 8
9 + 9n + 2n2 = 8 + n2 + n2

Combine like terms: n2 + n2 = 2n2
9 + 9n + 2n2 = 8 + 2n2

Add '-2n2' to each side of the equation.
9 + 9n + 2n2 + -2n2 = 8 + 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
9 + 9n + 0 = 8 + 2n2 + -2n2
9 + 9n = 8 + 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
9 + 9n = 8 + 0
9 + 9n = 8

Solving
9 + 9n = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 9n = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 9n = 8 + -9
9n = 8 + -9

Combine like terms: 8 + -9 = -1
9n = -1

Divide each side by '9'.
n = -0.1111111111

Simplifying
n = -0.1111111111

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