7n^2-11n-35=-3n+4n^2

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Solution for 7n^2-11n-35=-3n+4n^2 equation: 


Simplifying
7n2 + -11n + -35 = -3n + 4n2

Reorder the terms:
-35 + -11n + 7n2 = -3n + 4n2

Solving
-35 + -11n + 7n2 = -3n + 4n2

Solving for variable 'n'.

Reorder the terms:
-35 + -11n + 3n + 7n2 + -4n2 = -3n + 4n2 + 3n + -4n2

Combine like terms: -11n + 3n = -8n
-35 + -8n + 7n2 + -4n2 = -3n + 4n2 + 3n + -4n2

Combine like terms: 7n2 + -4n2 = 3n2
-35 + -8n + 3n2 = -3n + 4n2 + 3n + -4n2

Reorder the terms:
-35 + -8n + 3n2 = -3n + 3n + 4n2 + -4n2

Combine like terms: -3n + 3n = 0
-35 + -8n + 3n2 = 0 + 4n2 + -4n2
-35 + -8n + 3n2 = 4n2 + -4n2

Combine like terms: 4n2 + -4n2 = 0
-35 + -8n + 3n2 = 0

Factor a trinomial.
(-7 + -3n)(5 + -1n) = 0


Subproblem 1
Set the factor '(-7 + -3n)' equal to zero and attempt to solve:

Simplifying
-7 + -3n = 0

Solving
-7 + -3n = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3n = 0 + 7
-3n = 0 + 7

Combine like terms: 0 + 7 = 7
-3n = 7

Divide each side by '-3'.
n = -2.333333333

Simplifying
n = -2.333333333

Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve:

Simplifying
5 + -1n = 0

Solving
5 + -1n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 0 + -5
-1n = 0 + -5

Combine like terms: 0 + -5 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Solution
n = {-2.333333333, 5}

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