6xz^2-20xz-64x=0

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Solution for 6xz^2-20xz-64x=0 equation: 


Simplifying
6xz2 + -20xz + -64x = 0

Reorder the terms:
-64x + -20xz + 6xz2 = 0

Solving
-64x + -20xz + 6xz2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-32 + -10z + 3z2) = 0

Factor a trinomial.
2x((-2 + -1z)(16 + -3z)) = 0

Ignore the factor 2.

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 '(-2 + -1z)' equal to zero and attempt to solve:

Simplifying
-2 + -1z = 0

Solving
-2 + -1z = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1z = 0 + 2
-1z = 0 + 2

Combine like terms: 0 + 2 = 2
-1z = 2

Add 'z' to each side of the equation.
-1z + z = 2 + z

Combine like terms: -1z + z = 0
0 = 2 + z

Simplifying
0 = 2 + z

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(16 + -3z)' equal to zero and attempt to solve:

Simplifying
16 + -3z = 0

Solving
16 + -3z = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3z = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3z = 0 + -16
-3z = 0 + -16

Combine like terms: 0 + -16 = -16
-3z = -16

Add '3z' to each side of the equation.
-3z + 3z = -16 + 3z

Combine like terms: -3z + 3z = 0
0 = -16 + 3z

Simplifying
0 = -16 + 3z

The solution to this equation could not be determined.

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

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