(2x-3w)(8x-w)=0

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Solution for (2x-3w)(8x-w)=0 equation: 


Simplifying
(2x + -3w)(8x + -1w) = 0

Reorder the terms:
(-3w + 2x)(8x + -1w) = 0

Reorder the terms:
(-3w + 2x)(-1w + 8x) = 0

Multiply (-3w + 2x) * (-1w + 8x)
(-3w * (-1w + 8x) + 2x * (-1w + 8x)) = 0
((-1w * -3w + 8x * -3w) + 2x * (-1w + 8x)) = 0

Reorder the terms:
((-24wx + 3w2) + 2x * (-1w + 8x)) = 0
((-24wx + 3w2) + 2x * (-1w + 8x)) = 0
(-24wx + 3w2 + (-1w * 2x + 8x * 2x)) = 0
(-24wx + 3w2 + (-2wx + 16x2)) = 0

Reorder the terms:
(-24wx + -2wx + 3w2 + 16x2) = 0

Combine like terms: -24wx + -2wx = -26wx
(-26wx + 3w2 + 16x2) = 0

Solving
-26wx + 3w2 + 16x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + -8x)(3w + -2x) = 0


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

Simplifying
w + -8x = 0

Solving
w + -8x = 0

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

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

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

Simplifying
w = 8x

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

Simplifying
3w + -2x = 0

Solving
3w + -2x = 0

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

Add '2x' to each side of the equation.
3w + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
3w + 0 = 0 + 2x
3w = 0 + 2x
Remove the zero:
3w = 2x

Divide each side by '3'.
w = 0.6666666667x

Simplifying
w = 0.6666666667x
Solution
w = {8x, 0.6666666667x}

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