9w(3x-4y)-5w(x+y)=

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Solution for 9w(3x-4y)-5w(x+y)= equation: 


Simplifying
9w(3x + -4y) + -5w(x + y) = 0
(3x * 9w + -4y * 9w) + -5w(x + y) = 0
(27wx + -36wy) + -5w(x + y) = 0
27wx + -36wy + (x * -5w + y * -5w) = 0
27wx + -36wy + (-5wx + -5wy) = 0

Reorder the terms:
27wx + -5wx + -36wy + -5wy = 0

Combine like terms: 27wx + -5wx = 22wx
22wx + -36wy + -5wy = 0

Combine like terms: -36wy + -5wy = -41wy
22wx + -41wy = 0

Solving
22wx + -41wy = 0

Solving for variable 'w'.

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

Factor out the Greatest Common Factor (GCF), 'w'.
w(22x + -41y) = 0


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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(22x + -41y)' equal to zero and attempt to solve:

Simplifying
22x + -41y = 0

Solving
22x + -41y = 0

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

Add '-22x' to each side of the equation.
22x + -22x + -41y = 0 + -22x

Combine like terms: 22x + -22x = 0
0 + -41y = 0 + -22x
-41y = 0 + -22x
Remove the zero:
-41y = -22x

Add '41y' to each side of the equation.
-41y + 41y = -22x + 41y

Combine like terms: -41y + 41y = 0
0 = -22x + 41y

Simplifying
0 = -22x + 41y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}

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