(5x+4y-7w)*(-5xw)=

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


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

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

Remove parenthesis around (-5wx)
(-7w + 5x + 4y) * -5wx = 0

Reorder the terms for easier multiplication:
-5wx(-7w + 5x + 4y) = 0
(-7w * -5wx + 5x * -5wx + 4y * -5wx) = 0

Reorder the terms:
(-20wxy + -25wx2 + 35w2x) = 0
(-20wxy + -25wx2 + 35w2x) = 0

Solving
-20wxy + -25wx2 + 35w2x = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5wx'.
5wx(-4y + -5x + 7w) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'wx' equal to zero and attempt to solve:

Simplifying
wx = 0

Solving
wx = 0

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

Simplifying
wx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-4y + -5x + 7w)' equal to zero and attempt to solve:

Simplifying
-4y + -5x + 7w = 0

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

Solving
7w + -5x + -4y = 0

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

Add '5x' to each side of the equation.
7w + -5x + 5x + -4y = 0 + 5x

Combine like terms: -5x + 5x = 0
7w + 0 + -4y = 0 + 5x
7w + -4y = 0 + 5x
Remove the zero:
7w + -4y = 5x

Add '4y' to each side of the equation.
7w + -4y + 4y = 5x + 4y

Combine like terms: -4y + 4y = 0
7w + 0 = 5x + 4y
7w = 5x + 4y

Divide each side by '7'.
w = 0.7142857143x + 0.5714285714y

Simplifying
w = 0.7142857143x + 0.5714285714y
Solution
w = {0.7142857143x + 0.5714285714y}

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