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

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


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

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

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

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

Reorder the terms:
((-28wx + -16w2) + 5x * (4w + 7x)) = 0
((-28wx + -16w2) + 5x * (4w + 7x)) = 0
(-28wx + -16w2 + (4w * 5x + 7x * 5x)) = 0
(-28wx + -16w2 + (20wx + 35x2)) = 0

Reorder the terms:
(-28wx + 20wx + -16w2 + 35x2) = 0

Combine like terms: -28wx + 20wx = -8wx
(-8wx + -16w2 + 35x2) = 0

Solving
-8wx + -16w2 + 35x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(-4w + -7x)' equal to zero and attempt to solve:

Simplifying
-4w + -7x = 0

Solving
-4w + -7x = 0

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

Add '7x' to each side of the equation.
-4w + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
-4w + 0 = 0 + 7x
-4w = 0 + 7x
Remove the zero:
-4w = 7x

Divide each side by '-4'.
w = -1.75x

Simplifying
w = -1.75x

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 = {-1.75x, 1.25x}

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