36x^2z-48xz+16z=0

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Solution for 36x^2z-48xz+16z=0 equation: 


Simplifying
36x2z + -48xz + 16z = 0

Reorder the terms:
-48xz + 36x2z + 16z = 0

Solving
-48xz + 36x2z + 16z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(-12x + 9x2 + 4) = 0

Factor a trinomial.
4z((3x + -2)(3x + -2)) = 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 '(3x + -2)' equal to zero and attempt to solve:

Simplifying
3x + -2 = 0

Reorder the terms:
-2 + 3x = 0

Solving
-2 + 3x = 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 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 3
Set the factor '(3x + -2)' equal to zero and attempt to solve:

Simplifying
3x + -2 = 0

Reorder the terms:
-2 + 3x = 0

Solving
-2 + 3x = 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 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.6666666667, 0.6666666667}

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