(3-n)(3-n)-12(3-n)+36=(n+3)(n+3)

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Solution for (3-n)(3-n)-12(3-n)+36=(n+3)(n+3) equation: 


Simplifying
(3 + -1n)(3 + -1n) + -12(3 + -1n) + 36 = (n + 3)(n + 3)

Multiply (3 + -1n) * (3 + -1n)
(3(3 + -1n) + -1n * (3 + -1n)) + -12(3 + -1n) + 36 = (n + 3)(n + 3)
((3 * 3 + -1n * 3) + -1n * (3 + -1n)) + -12(3 + -1n) + 36 = (n + 3)(n + 3)
((9 + -3n) + -1n * (3 + -1n)) + -12(3 + -1n) + 36 = (n + 3)(n + 3)
(9 + -3n + (3 * -1n + -1n * -1n)) + -12(3 + -1n) + 36 = (n + 3)(n + 3)
(9 + -3n + (-3n + 1n2)) + -12(3 + -1n) + 36 = (n + 3)(n + 3)

Combine like terms: -3n + -3n = -6n
(9 + -6n + 1n2) + -12(3 + -1n) + 36 = (n + 3)(n + 3)
9 + -6n + 1n2 + (3 * -12 + -1n * -12) + 36 = (n + 3)(n + 3)
9 + -6n + 1n2 + (-36 + 12n) + 36 = (n + 3)(n + 3)

Reorder the terms:
9 + -36 + 36 + -6n + 12n + 1n2 = (n + 3)(n + 3)

Combine like terms: 9 + -36 = -27
-27 + 36 + -6n + 12n + 1n2 = (n + 3)(n + 3)

Combine like terms: -27 + 36 = 9
9 + -6n + 12n + 1n2 = (n + 3)(n + 3)

Combine like terms: -6n + 12n = 6n
9 + 6n + 1n2 = (n + 3)(n + 3)

Reorder the terms:
9 + 6n + 1n2 = (3 + n)(n + 3)

Reorder the terms:
9 + 6n + 1n2 = (3 + n)(3 + n)

Multiply (3 + n) * (3 + n)
9 + 6n + 1n2 = (3(3 + n) + n(3 + n))
9 + 6n + 1n2 = ((3 * 3 + n * 3) + n(3 + n))
9 + 6n + 1n2 = ((9 + 3n) + n(3 + n))
9 + 6n + 1n2 = (9 + 3n + (3 * n + n * n))
9 + 6n + 1n2 = (9 + 3n + (3n + n2))

Combine like terms: 3n + 3n = 6n
9 + 6n + 1n2 = (9 + 6n + n2)

Add '-9' to each side of the equation.
9 + 6n + -9 + 1n2 = 9 + 6n + -9 + n2

Reorder the terms:
9 + -9 + 6n + 1n2 = 9 + 6n + -9 + n2

Combine like terms: 9 + -9 = 0
0 + 6n + 1n2 = 9 + 6n + -9 + n2
6n + 1n2 = 9 + 6n + -9 + n2

Reorder the terms:
6n + 1n2 = 9 + -9 + 6n + n2

Combine like terms: 9 + -9 = 0
6n + 1n2 = 0 + 6n + n2
6n + 1n2 = 6n + n2

Add '-6n' to each side of the equation.
6n + -6n + 1n2 = 6n + -6n + n2

Combine like terms: 6n + -6n = 0
0 + 1n2 = 6n + -6n + n2
1n2 = 6n + -6n + n2

Combine like terms: 6n + -6n = 0
1n2 = 0 + n2
1n2 = n2

Solving
1n2 = n2

Solving for variable 'n'.

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

Add '-1n2' to each side of the equation.
1n2 + -1n2 = n2 + -1n2

Combine like terms: 1n2 + -1n2 = 0
0 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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