35n=49n^2

Solution for 35n=49n^2 equation:

Simplifying
35n = 49n2

Solving
35n = 49n2

Solving for variable 'n'.

Combine like terms: 49n2 + -49n2 = 0
35n + -49n2 = 0

Factor out the Greatest Common Factor (GCF), '7n'.
7n(5 + -7n) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(5 + -7n)' equal to zero and attempt to solve:

Simplifying
5 + -7n = 0

Solving
5 + -7n = 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 + -7n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7n = 0 + -5
-7n = 0 + -5

Combine like terms: 0 + -5 = -5
-7n = -5

Divide each side by '-7'.
n = 0.7142857143

Simplifying
n = 0.7142857143
Solution
n = {0, 0.7142857143}