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

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


Simplifying
(5x + -4w)(8x + -1w) = 0

Reorder the terms:
(-4w + 5x)(8x + -1w) = 0

Reorder the terms:
(-4w + 5x)(-1w + 8x) = 0

Multiply (-4w + 5x) * (-1w + 8x)
(-4w * (-1w + 8x) + 5x * (-1w + 8x)) = 0
((-1w * -4w + 8x * -4w) + 5x * (-1w + 8x)) = 0

Reorder the terms:
((-32wx + 4w2) + 5x * (-1w + 8x)) = 0
((-32wx + 4w2) + 5x * (-1w + 8x)) = 0
(-32wx + 4w2 + (-1w * 5x + 8x * 5x)) = 0
(-32wx + 4w2 + (-5wx + 40x2)) = 0

Reorder the terms:
(-32wx + -5wx + 4w2 + 40x2) = 0

Combine like terms: -32wx + -5wx = -37wx
(-37wx + 4w2 + 40x2) = 0

Solving
-37wx + 4w2 + 40x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + -8x)(4w + -5x) = 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 '(4w + -5x)' equal to zero and attempt to solve:

Simplifying
4w + -5x = 0

Solving
4w + -5x = 0

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

Add '5x' to each side of the equation.
4w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
4w + 0 = 0 + 5x
4w = 0 + 5x
Remove the zero:
4w = 5x

Divide each side by '4'.
w = 1.25x

Simplifying
w = 1.25x
Solution
w = {8x, 1.25x}

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