(5x+4w)(7x-w)=

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Solution for (5x+4w)(7x-w)= equation: 


Simplifying
(5x + 4w)(7x + -1w) = 0

Reorder the terms:
(4w + 5x)(7x + -1w) = 0

Reorder the terms:
(4w + 5x)(-1w + 7x) = 0

Multiply (4w + 5x) * (-1w + 7x)
(4w * (-1w + 7x) + 5x * (-1w + 7x)) = 0
((-1w * 4w + 7x * 4w) + 5x * (-1w + 7x)) = 0

Reorder the terms:
((28wx + -4w2) + 5x * (-1w + 7x)) = 0
((28wx + -4w2) + 5x * (-1w + 7x)) = 0
(28wx + -4w2 + (-1w * 5x + 7x * 5x)) = 0
(28wx + -4w2 + (-5wx + 35x2)) = 0

Reorder the terms:
(28wx + -5wx + -4w2 + 35x2) = 0

Combine like terms: 28wx + -5wx = 23wx
(23wx + -4w2 + 35x2) = 0

Solving
23wx + -4w2 + 35x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4w + -5x)(w + -7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(w + -7x)' equal to zero and attempt to solve:

Simplifying
w + -7x = 0

Solving
w + -7x = 0

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

Add '7x' to each side of the equation.
w + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
w + 0 = 0 + 7x
w = 0 + 7x
Remove the zero:
w = 7x

Simplifying
w = 7x
Solution
w = {-1.25x, 7x}

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