15x-25xy+35xz=

Solution for 15x-25xy+35xz= equation:

Simplifying
15x + -25xy + 35xz = 0

Solving
15x + -25xy + 35xz = 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), '5x'.
5x(3 + -5y + 7z) = 0

Ignore the factor 5.
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 '(3 + -5y + 7z)' equal to zero and attempt to solve:

Simplifying
3 + -5y + 7z = 0

Solving
3 + -5y + 7z = 0

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

Add '-3' to each side of the equation.
3 + -5y + -3 + 7z = 0 + -3

Reorder the terms:
3 + -3 + -5y + 7z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y + 7z = 0 + -3
-5y + 7z = 0 + -3

Combine like terms: 0 + -3 = -3
-5y + 7z = -3

Add '5y' to each side of the equation.
-5y + 5y + 7z = -3 + 5y

Combine like terms: -5y + 5y = 0
0 + 7z = -3 + 5y
7z = -3 + 5y

Add '-7z' to each side of the equation.
7z + -7z = -3 + 5y + -7z

Combine like terms: 7z + -7z = 0
0 = -3 + 5y + -7z

Simplifying
0 = -3 + 5y + -7z

The solution to this equation could not be determined.

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