(5x-4w)(7x-2w)=

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Solution for (5x-4w)(7x-2w)= equation: 


Simplifying
(5x + -4w)(7x + -2w) = 0

Reorder the terms:
(-4w + 5x)(7x + -2w) = 0

Reorder the terms:
(-4w + 5x)(-2w + 7x) = 0

Multiply (-4w + 5x) * (-2w + 7x)
(-4w * (-2w + 7x) + 5x * (-2w + 7x)) = 0
((-2w * -4w + 7x * -4w) + 5x * (-2w + 7x)) = 0

Reorder the terms:
((-28wx + 8w2) + 5x * (-2w + 7x)) = 0
((-28wx + 8w2) + 5x * (-2w + 7x)) = 0
(-28wx + 8w2 + (-2w * 5x + 7x * 5x)) = 0
(-28wx + 8w2 + (-10wx + 35x2)) = 0

Reorder the terms:
(-28wx + -10wx + 8w2 + 35x2) = 0

Combine like terms: -28wx + -10wx = -38wx
(-38wx + 8w2 + 35x2) = 0

Solving
-38wx + 8w2 + 35x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2w + -7x)(4w + -5x) = 0


Subproblem 1
Set the factor '(2w + -7x)' equal to zero and attempt to solve:

Simplifying
2w + -7x = 0

Solving
2w + -7x = 0

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

Add '7x' to each side of the equation.
2w + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
2w + 0 = 0 + 7x
2w = 0 + 7x
Remove the zero:
2w = 7x

Divide each side by '2'.
w = 3.5x

Simplifying
w = 3.5x

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 = {3.5x, 1.25x}

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