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

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


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

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

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

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

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

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

Combine like terms: -35wx + -4wx = -39wx
(-39wx + 5w2 + 28x2) = 0

Solving
-39wx + 5w2 + 28x2 = 0

Solving for variable 'w'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(5w + -4x)' equal to zero and attempt to solve:

Simplifying
5w + -4x = 0

Solving
5w + -4x = 0

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

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

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

Divide each side by '5'.
w = 0.8x

Simplifying
w = 0.8x
Solution
w = {7x, 0.8x}

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