(3w+8)(5-w)=0

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Solution for (3w+8)(5-w)=0 equation: 


Simplifying
(3w + 8)(5 + -1w) = 0

Reorder the terms:
(8 + 3w)(5 + -1w) = 0

Multiply (8 + 3w) * (5 + -1w)
(8(5 + -1w) + 3w * (5 + -1w)) = 0
((5 * 8 + -1w * 8) + 3w * (5 + -1w)) = 0
((40 + -8w) + 3w * (5 + -1w)) = 0
(40 + -8w + (5 * 3w + -1w * 3w)) = 0
(40 + -8w + (15w + -3w2)) = 0

Combine like terms: -8w + 15w = 7w
(40 + 7w + -3w2) = 0

Solving
40 + 7w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + -1w)(8 + 3w) = 0


Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5

Subproblem 2
Set the factor '(8 + 3w)' equal to zero and attempt to solve:

Simplifying
8 + 3w = 0

Solving
8 + 3w = 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 + 3w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3w = 0 + -8
3w = 0 + -8

Combine like terms: 0 + -8 = -8
3w = -8

Divide each side by '3'.
w = -2.666666667

Simplifying
w = -2.666666667
Solution
w = {5, -2.666666667}

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