8x(x+4x+2z)=

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Solution for 8x(x+4x+2z)= equation: 


Simplifying
8x(x + 4x + 2z) = 0

Combine like terms: x + 4x = 5x
8x(5x + 2z) = 0
(5x * 8x + 2z * 8x) = 0

Reorder the terms:
(16xz + 40x2) = 0
(16xz + 40x2) = 0

Solving
16xz + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(2z + 5x) = 0

Ignore the factor 8.

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 '(2z + 5x)' equal to zero and attempt to solve:

Simplifying
2z + 5x = 0

Reorder the terms:
5x + 2z = 0

Solving
5x + 2z = 0

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

Add '-2z' to each side of the equation.
5x + 2z + -2z = 0 + -2z

Combine like terms: 2z + -2z = 0
5x + 0 = 0 + -2z
5x = 0 + -2z
Remove the zero:
5x = -2z

Divide each side by '5'.
x = -0.4z

Simplifying
x = -0.4z
Solution
x = {0, -0.4z}

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