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

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

Simplifying
(x + -3w)(x + -8w) = 0

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

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

Multiply (-3w + x) * (-8w + x)
(-3w * (-8w + x) + x(-8w + x)) = 0
((-8w * -3w + x * -3w) + x(-8w + x)) = 0

Reorder the terms:
((-3wx + 24w2) + x(-8w + x)) = 0
((-3wx + 24w2) + x(-8w + x)) = 0
(-3wx + 24w2 + (-8w * x + x * x)) = 0
(-3wx + 24w2 + (-8wx + x2)) = 0

Reorder the terms:
(-3wx + -8wx + 24w2 + x2) = 0

Combine like terms: -3wx + -8wx = -11wx
(-11wx + 24w2 + x2) = 0

Solving
-11wx + 24w2 + x2 = 0

Solving for variable 'w'.

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

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

Simplifying
3w + -1x = 0

Solving
3w + -1x = 0

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

Add 'x' to each side of the equation.
3w + -1x + x = 0 + x

Combine like terms: -1x + x = 0
3w + 0 = 0 + x
3w = 0 + x
Remove the zero:
3w = x

Divide each side by '3'.
w = 0.3333333333x

Simplifying
w = 0.3333333333x
Subproblem 2
Set the factor '(8w + -1x)' equal to zero and attempt to solve:

Simplifying
8w + -1x = 0

Solving
8w + -1x = 0

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

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

Combine like terms: -1x + x = 0
8w + 0 = 0 + x
8w = 0 + x
Remove the zero:
8w = x

Divide each side by '8'.
w = 0.125x

Simplifying
w = 0.125x
Solution
w = {0.3333333333x, 0.125x}