7w(4w+3)=0

Solution for 7w(4w+3)=0 equation:

Simplifying
7w(4w + 3) = 0

Reorder the terms:
7w(3 + 4w) = 0
(3 * 7w + 4w * 7w) = 0
(21w + 28w2) = 0

Solving
21w + 28w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '7w'.
7w(3 + 4w) = 0

Ignore the factor 7.
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 '(3 + 4w)' equal to zero and attempt to solve:

Simplifying
3 + 4w = 0

Solving
3 + 4w = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4w = 0 + -3
4w = 0 + -3

Combine like terms: 0 + -3 = -3
4w = -3

Divide each side by '4'.
w = -0.75

Simplifying
w = -0.75
Solution
w = {0, -0.75}