(3w+16)(w-3)=0

Solution for (3w+16)(w-3)=0 equation:

Simplifying
(3w + 16)(w + -3) = 0

Reorder the terms:
(16 + 3w)(w + -3) = 0

Reorder the terms:
(16 + 3w)(-3 + w) = 0

Multiply (16 + 3w) * (-3 + w)
(16(-3 + w) + 3w * (-3 + w)) = 0
((-3 * 16 + w * 16) + 3w * (-3 + w)) = 0
((-48 + 16w) + 3w * (-3 + w)) = 0
(-48 + 16w + (-3 * 3w + w * 3w)) = 0
(-48 + 16w + (-9w + 3w2)) = 0

Combine like terms: 16w + -9w = 7w
(-48 + 7w + 3w2) = 0

Solving
-48 + 7w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-16 + -3w)(3 + -1w) = 0

Subproblem 1
Set the factor '(-16 + -3w)' equal to zero and attempt to solve:

Simplifying
-16 + -3w = 0

Solving
-16 + -3w = 0

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

Add '16' to each side of the equation.
-16 + 16 + -3w = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -3w = 0 + 16
-3w = 0 + 16

Combine like terms: 0 + 16 = 16
-3w = 16

Divide each side by '-3'.
w = -5.333333333

Simplifying
w = -5.333333333
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 = {-5.333333333, 3}