3n^2-2n+1=(3n^2)+9n+11

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Solution for 3n^2-2n+1=(3n^2)+9n+11 equation:


Simplifying
3n2 + -2n + 1 = (3n2) + 9n + 11

Reorder the terms:
1 + -2n + 3n2 = (3n2) + 9n + 11

Reorder the terms:
1 + -2n + 3n2 = 11 + 9n + (3n2)

Add '-3n2' to each side of the equation.
1 + -2n + 3n2 + -3n2 = 11 + 9n + (3n2) + -3n2

Combine like terms: 3n2 + -3n2 = 0
1 + -2n + 0 = 11 + 9n + (3n2) + -3n2
1 + -2n = 11 + 9n + (3n2) + -3n2

Combine like terms: (3n2) + -3n2 = 0
1 + -2n = 11 + 9n + 0
1 + -2n = 11 + 9n

Solving
1 + -2n = 11 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
1 + -2n + -9n = 11 + 9n + -9n

Combine like terms: -2n + -9n = -11n
1 + -11n = 11 + 9n + -9n

Combine like terms: 9n + -9n = 0
1 + -11n = 11 + 0
1 + -11n = 11

Add '-1' to each side of the equation.
1 + -1 + -11n = 11 + -1

Combine like terms: 1 + -1 = 0
0 + -11n = 11 + -1
-11n = 11 + -1

Combine like terms: 11 + -1 = 10
-11n = 10

Divide each side by '-11'.
n = -0.9090909091

Simplifying
n = -0.9090909091

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