(3x-4w)(5x-8w)=

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Solution for (3x-4w)(5x-8w)= equation: 


Simplifying
(3x + -4w)(5x + -8w) = 0

Reorder the terms:
(-4w + 3x)(5x + -8w) = 0

Reorder the terms:
(-4w + 3x)(-8w + 5x) = 0

Multiply (-4w + 3x) * (-8w + 5x)
(-4w * (-8w + 5x) + 3x * (-8w + 5x)) = 0
((-8w * -4w + 5x * -4w) + 3x * (-8w + 5x)) = 0

Reorder the terms:
((-20wx + 32w2) + 3x * (-8w + 5x)) = 0
((-20wx + 32w2) + 3x * (-8w + 5x)) = 0
(-20wx + 32w2 + (-8w * 3x + 5x * 3x)) = 0
(-20wx + 32w2 + (-24wx + 15x2)) = 0

Reorder the terms:
(-20wx + -24wx + 32w2 + 15x2) = 0

Combine like terms: -20wx + -24wx = -44wx
(-44wx + 32w2 + 15x2) = 0

Solving
-44wx + 32w2 + 15x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4w + -3x)(8w + -5x) = 0


Subproblem 1
Set the factor '(4w + -3x)' equal to zero and attempt to solve:

Simplifying
4w + -3x = 0

Solving
4w + -3x = 0

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

Add '3x' to each side of the equation.
4w + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
4w + 0 = 0 + 3x
4w = 0 + 3x
Remove the zero:
4w = 3x

Divide each side by '4'.
w = 0.75x

Simplifying
w = 0.75x

Subproblem 2
Set the factor '(8w + -5x)' equal to zero and attempt to solve:

Simplifying
8w + -5x = 0

Solving
8w + -5x = 0

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

Add '5x' to each side of the equation.
8w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
8w + 0 = 0 + 5x
8w = 0 + 5x
Remove the zero:
8w = 5x

Divide each side by '8'.
w = 0.625x

Simplifying
w = 0.625x
Solution
w = {0.75x, 0.625x}

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