7k^2+6k+3=3

Solution for 7k^2+6k+3=3 equation:

Simplifying
7k2 + 6k + 3 = 3

Reorder the terms:
3 + 6k + 7k2 = 3

Add '-3' to each side of the equation.
3 + 6k + -3 + 7k2 = 3 + -3

Reorder the terms:
3 + -3 + 6k + 7k2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 6k + 7k2 = 3 + -3
6k + 7k2 = 3 + -3

Combine like terms: 3 + -3 = 0
6k + 7k2 = 0

Solving
6k + 7k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(6 + 7k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(6 + 7k)' equal to zero and attempt to solve:

Simplifying
6 + 7k = 0

Solving
6 + 7k = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7k = 0 + -6
7k = 0 + -6

Combine like terms: 0 + -6 = -6
7k = -6

Divide each side by '7'.
k = -0.8571428571

Simplifying
k = -0.8571428571
Solution
k = {0, -0.8571428571}