7k^2+37k+7k^2=0

Solution for 7k^2+37k+7k^2=0 equation:

Simplifying
7k2 + 37k + 7k2 = 0

Reorder the terms:
37k + 7k2 + 7k2 = 0

Combine like terms: 7k2 + 7k2 = 14k2
37k + 14k2 = 0

Solving
37k + 14k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(37 + 14k) = 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 '(37 + 14k)' equal to zero and attempt to solve:

Simplifying
37 + 14k = 0

Solving
37 + 14k = 0

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

Add '-37' to each side of the equation.
37 + -37 + 14k = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 14k = 0 + -37
14k = 0 + -37

Combine like terms: 0 + -37 = -37
14k = -37

Divide each side by '14'.
k = -2.642857143

Simplifying
k = -2.642857143
Solution
k = {0, -2.642857143}