-3(w+4)(-w+3)=0

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

Simplifying
-3(w + 4)(-1w + 3) = 0

Reorder the terms:
-3(4 + w)(-1w + 3) = 0

Reorder the terms:
-3(4 + w)(3 + -1w) = 0

Multiply (4 + w) * (3 + -1w)
-3(4(3 + -1w) + w(3 + -1w)) = 0
-3((3 * 4 + -1w * 4) + w(3 + -1w)) = 0
-3((12 + -4w) + w(3 + -1w)) = 0
-3(12 + -4w + (3 * w + -1w * w)) = 0
-3(12 + -4w + (3w + -1w2)) = 0

Combine like terms: -4w + 3w = -1w
-3(12 + -1w + -1w2) = 0
(12 * -3 + -1w * -3 + -1w2 * -3) = 0
(-36 + 3w + 3w2) = 0

Solving
-36 + 3w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + w + w2) = 0

Factor a trinomial.
3((-4 + -1w)(3 + -1w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -1w)' equal to zero and attempt to solve:

Simplifying
-4 + -1w = 0

Solving
-4 + -1w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1w = 0 + 4
-1w = 0 + 4

Combine like terms: 0 + 4 = 4
-1w = 4

Divide each side by '-1'.
w = -4

Simplifying
w = -4
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-4, 3}