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

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


Simplifying
4x(-5z + 8x + -1y) = 0

Reorder the terms:
4x(8x + -1y + -5z) = 0
(8x * 4x + -1y * 4x + -5z * 4x) = 0

Reorder the terms:
(-4xy + -20xz + 32x2) = 0
(-4xy + -20xz + 32x2) = 0

Solving
-4xy + -20xz + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1y + -5z + 8x) = 0

Ignore the factor 4.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1y + -5z + 8x)' equal to zero and attempt to solve:

Simplifying
-1y + -5z + 8x = 0

Reorder the terms:
8x + -1y + -5z = 0

Solving
8x + -1y + -5z = 0

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

Add 'y' to each side of the equation.
8x + -1y + y + -5z = 0 + y

Combine like terms: -1y + y = 0
8x + 0 + -5z = 0 + y
8x + -5z = 0 + y
Remove the zero:
8x + -5z = y

Add '5z' to each side of the equation.
8x + -5z + 5z = y + 5z

Combine like terms: -5z + 5z = 0
8x + 0 = y + 5z
8x = y + 5z

Divide each side by '8'.
x = 0.125y + 0.625z

Simplifying
x = 0.125y + 0.625z
Solution
x = {0, 0.125y + 0.625z}

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