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

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


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

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

Multiply (-5 + 3w) * (8 + -1w)
(-5(8 + -1w) + 3w * (8 + -1w)) = 0
((8 * -5 + -1w * -5) + 3w * (8 + -1w)) = 0
((-40 + 5w) + 3w * (8 + -1w)) = 0
(-40 + 5w + (8 * 3w + -1w * 3w)) = 0
(-40 + 5w + (24w + -3w2)) = 0

Combine like terms: 5w + 24w = 29w
(-40 + 29w + -3w2) = 0

Solving
-40 + 29w + -3w2 = 0

Solving for variable 'w'.

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


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

Simplifying
-8 + w = 0

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

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

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

Simplifying
w = 8

Subproblem 2
Set the factor '(5 + -3w)' equal to zero and attempt to solve:

Simplifying
5 + -3w = 0

Solving
5 + -3w = 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 + -3w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3w = 0 + -5
-3w = 0 + -5

Combine like terms: 0 + -5 = -5
-3w = -5

Divide each side by '-3'.
w = 1.666666667

Simplifying
w = 1.666666667
Solution
w = {8, 1.666666667}

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