2n^2-14n+3=3

Solution for 2n^2-14n+3=3 equation:

Simplifying
2n2 + -14n + 3 = 3

Reorder the terms:
3 + -14n + 2n2 = 3

Add '-3' to each side of the equation.
3 + -14n + -3 + 2n2 = 3 + -3

Reorder the terms:
3 + -3 + -14n + 2n2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -14n + 2n2 = 3 + -3
-14n + 2n2 = 3 + -3

Combine like terms: 3 + -3 = 0
-14n + 2n2 = 0

Solving
-14n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-7 + n) = 0

Ignore the factor 2.
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 '(-7 + n)' equal to zero and attempt to solve:

Simplifying
-7 + n = 0

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

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

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

Simplifying
n = 7
Solution
n = {0, 7}