(3w+4)(8-w)=0

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Solution for (3w+4)(8-w)=0 equation: 


Simplifying
(3w + 4)(8 + -1w) = 0

Reorder the terms:
(4 + 3w)(8 + -1w) = 0

Multiply (4 + 3w) * (8 + -1w)
(4(8 + -1w) + 3w * (8 + -1w)) = 0
((8 * 4 + -1w * 4) + 3w * (8 + -1w)) = 0
((32 + -4w) + 3w * (8 + -1w)) = 0
(32 + -4w + (8 * 3w + -1w * 3w)) = 0
(32 + -4w + (24w + -3w2)) = 0

Combine like terms: -4w + 24w = 20w
(32 + 20w + -3w2) = 0

Solving
32 + 20w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(4 + 3w) = 0


Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8

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

Simplifying
4 + 3w = 0

Solving
4 + 3w = 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 + 3w = 0 + -4

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

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

Divide each side by '3'.
w = -1.333333333

Simplifying
w = -1.333333333
Solution
w = {8, -1.333333333}

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