8xyz(-4x+5y-7z)=

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Solution for 8xyz(-4x+5y-7z)= equation: 


Simplifying
8xyz(-4x + 5y + -7z) = 0
(-4x * 8xyz + 5y * 8xyz + -7z * 8xyz) = 0

Reorder the terms:
(-56xyz2 + 40xy2z + -32x2yz) = 0
(-56xyz2 + 40xy2z + -32x2yz) = 0

Solving
-56xyz2 + 40xy2z + -32x2yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8xyz'.
8xyz(-7z + 5y + -4x) = 0

Ignore the factor 8.

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

Simplifying
xyz = 0

Solving
xyz = 0

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

Simplifying
xyz = 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 '(-7z + 5y + -4x)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 1.25y + -1.75z

Simplifying
x = 1.25y + -1.75z
Solution
x = {1.25y + -1.75z}

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