How do i Factor 4w^2=24w

Simplifying

4w2 + 24w = 0

Reorder the terms:

24w + 4w2 = 0

Solving

24w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w'.

4w (6 + w) = 0

Ignore the factor 4.

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 + w) ' equal to zero and attempt to solve:

Simplifying

6 + w = 0

Solving

6 + w = 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 + w = 0 + - 6

Combine like terms: 6 + - 6 = 0

0 + w = 0 + - 6

w = 0 + - 6

Combine like terms: 0 + - 6 = - 6

w = - 6

Simplifying

w = - 6

Solution

w = {0, - 6}