7w^2+6w=0

Solution for 7w^2+6w=0 equation:

Simplifying
7w2 + 6w = 0

Reorder the terms:
6w + 7w2 = 0

Solving
6w + 7w2 = 0

Solving for variable 'w'.

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

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

Simplifying
w = 0

Solving
w = 0

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

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

Simplifying
6 + 7w = 0

Solving
6 + 7w = 0

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

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

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

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

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

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