4z=6z-10findz

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Solution for 4z=6z-10findz equation: 


Simplifying
4z = 6z + -10findz

Reorder the terms:
4z = -10dfinz + 6z

Solving
4z = -10dfinz + 6z

Solving for variable 'z'.

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

Add '10dfinz' to each side of the equation.
10dfinz + 4z = -10dfinz + 10dfinz + 6z

Combine like terms: -10dfinz + 10dfinz = 0
10dfinz + 4z = 0 + 6z
10dfinz + 4z = 6z

Add '-6z' to each side of the equation.
10dfinz + 4z + -6z = 6z + -6z

Combine like terms: 4z + -6z = -2z
10dfinz + -2z = 6z + -6z

Combine like terms: 6z + -6z = 0
10dfinz + -2z = 0

Factor out the Greatest Common Factor (GCF), '2z'.
2z(5dfin + -1) = 0

Ignore the factor 2.

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

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(5dfin + -1)' equal to zero and attempt to solve:

Simplifying
5dfin + -1 = 0

Reorder the terms:
-1 + 5dfin = 0

Solving
-1 + 5dfin = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5dfin = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5dfin = 0 + 1
5dfin = 0 + 1

Combine like terms: 0 + 1 = 1
5dfin = 1

Add '-5dfin' to each side of the equation.
5dfin + -5dfin = 1 + -5dfin

Combine like terms: 5dfin + -5dfin = 0
0 = 1 + -5dfin

Simplifying
0 = 1 + -5dfin

The solution to this equation could not be determined.

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

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