(3x-1w)(3x+8w)=

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Solution for (3x-1w)(3x+8w)= equation: 


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

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

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

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

Reorder the terms:
((-3wx + -8w2) + 3x * (8w + 3x)) = 0
((-3wx + -8w2) + 3x * (8w + 3x)) = 0
(-3wx + -8w2 + (8w * 3x + 3x * 3x)) = 0
(-3wx + -8w2 + (24wx + 9x2)) = 0

Reorder the terms:
(-3wx + 24wx + -8w2 + 9x2) = 0

Combine like terms: -3wx + 24wx = 21wx
(21wx + -8w2 + 9x2) = 0

Solving
21wx + -8w2 + 9x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(-8w + -3x)' equal to zero and attempt to solve:

Simplifying
-8w + -3x = 0

Solving
-8w + -3x = 0

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

Add '3x' to each side of the equation.
-8w + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-8w + 0 = 0 + 3x
-8w = 0 + 3x
Remove the zero:
-8w = 3x

Divide each side by '-8'.
w = -0.375x

Simplifying
w = -0.375x

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

Simplifying
w + -3x = 0

Solving
w + -3x = 0

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

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

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

Simplifying
w = 3x
Solution
w = {-0.375x, 3x}

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