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

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


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

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

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

Multiply (-5w + 3x) * (-8w + 3x)
(-5w * (-8w + 3x) + 3x * (-8w + 3x)) = 0
((-8w * -5w + 3x * -5w) + 3x * (-8w + 3x)) = 0

Reorder the terms:
((-15wx + 40w2) + 3x * (-8w + 3x)) = 0
((-15wx + 40w2) + 3x * (-8w + 3x)) = 0
(-15wx + 40w2 + (-8w * 3x + 3x * 3x)) = 0
(-15wx + 40w2 + (-24wx + 9x2)) = 0

Reorder the terms:
(-15wx + -24wx + 40w2 + 9x2) = 0

Combine like terms: -15wx + -24wx = -39wx
(-39wx + 40w2 + 9x2) = 0

Solving
-39wx + 40w2 + 9x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(5w + -3x)' equal to zero and attempt to solve:

Simplifying
5w + -3x = 0

Solving
5w + -3x = 0

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

Add '3x' to each side of the equation.
5w + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
5w + 0 = 0 + 3x
5w = 0 + 3x
Remove the zero:
5w = 3x

Divide each side by '5'.
w = 0.6x

Simplifying
w = 0.6x

Subproblem 2
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
Solution
w = {0.6x, 0.375x}

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