43w^2+42w=0

Solution for 43w^2+42w=0 equation:

Simplifying
43w2 + 42w = 0

Reorder the terms:
42w + 43w2 = 0

Solving
42w + 43w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(42 + 43w) = 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 '(42 + 43w)' equal to zero and attempt to solve:

Simplifying
42 + 43w = 0

Solving
42 + 43w = 0

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

Add '-42' to each side of the equation.
42 + -42 + 43w = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 43w = 0 + -42
43w = 0 + -42

Combine like terms: 0 + -42 = -42
43w = -42

Divide each side by '43'.
w = -0.976744186

Simplifying
w = -0.976744186
Solution
w = {0, -0.976744186}