-4z(x+6)(z-8)=0

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Solution for -4z(x+6)(z-8)=0 equation: 


Simplifying
-4z(x + 6)(z + -8) = 0

Reorder the terms:
-4z(6 + x)(z + -8) = 0

Reorder the terms:
-4z(6 + x)(-8 + z) = 0

Multiply (6 + x) * (-8 + z)
-4z(6(-8 + z) + x(-8 + z)) = 0
-4z((-8 * 6 + z * 6) + x(-8 + z)) = 0
-4z((-48 + 6z) + x(-8 + z)) = 0
-4z(-48 + 6z + (-8 * x + z * x)) = 0
-4z(-48 + 6z + (-8x + xz)) = 0

Reorder the terms:
-4z(-48 + -8x + xz + 6z) = 0
-4z(-48 + -8x + xz + 6z) = 0
(-48 * -4z + -8x * -4z + xz * -4z + 6z * -4z) = 0

Reorder the terms:
(32xz + -4xz2 + 192z + -24z2) = 0
(32xz + -4xz2 + 192z + -24z2) = 0

Solving
32xz + -4xz2 + 192z + -24z2 = 0

Solving for variable 'x'.

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

Add '-192z' to each side of the equation.
32xz + -4xz2 + 192z + -192z + -24z2 = 0 + -192z

Combine like terms: 192z + -192z = 0
32xz + -4xz2 + 0 + -24z2 = 0 + -192z
32xz + -4xz2 + -24z2 = 0 + -192z
Remove the zero:
32xz + -4xz2 + -24z2 = -192z

Add '24z2' to each side of the equation.
32xz + -4xz2 + -24z2 + 24z2 = -192z + 24z2

Combine like terms: -24z2 + 24z2 = 0
32xz + -4xz2 + 0 = -192z + 24z2
32xz + -4xz2 = -192z + 24z2

Reorder the terms:
32xz + -4xz2 + 192z + -24z2 = -192z + 192z + 24z2 + -24z2

Combine like terms: -192z + 192z = 0
32xz + -4xz2 + 192z + -24z2 = 0 + 24z2 + -24z2
32xz + -4xz2 + 192z + -24z2 = 24z2 + -24z2

Combine like terms: 24z2 + -24z2 = 0
32xz + -4xz2 + 192z + -24z2 = 0

Factor out the Greatest Common Factor (GCF), '4z'.
4z(8x + -1xz + 48 + -6z) = 0

Ignore the factor 4.

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

Simplifying
z = 0

Solving
z = 0

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

Add '-1z' to each side of the equation.
z + -1z = 0 + -1z
Remove the zero:
0 = -1z

Simplifying
0 = -1z

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 '(8x + -1xz + 48 + -6z)' equal to zero and attempt to solve:

Simplifying
8x + -1xz + 48 + -6z = 0

Reorder the terms:
48 + 8x + -1xz + -6z = 0

Solving
48 + 8x + -1xz + -6z = 0

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

Add '-48' to each side of the equation.
48 + 8x + -1xz + -48 + -6z = 0 + -48

Reorder the terms:
48 + -48 + 8x + -1xz + -6z = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 8x + -1xz + -6z = 0 + -48
8x + -1xz + -6z = 0 + -48

Combine like terms: 0 + -48 = -48
8x + -1xz + -6z = -48

Add '6z' to each side of the equation.
8x + -1xz + -6z + 6z = -48 + 6z

Combine like terms: -6z + 6z = 0
8x + -1xz + 0 = -48 + 6z
8x + -1xz = -48 + 6z

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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