3x(5y-7z)=

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Solution for 3x(5y-7z)= equation: 


Simplifying
3x(5y + -7z) = 0
(5y * 3x + -7z * 3x) = 0
(15xy + -21xz) = 0

Solving
15xy + -21xz = 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), '3x'.
3x(5y + -7z) = 0

Ignore the factor 3.

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 '(5y + -7z)' equal to zero and attempt to solve:

Simplifying
5y + -7z = 0

Solving
5y + -7z = 0

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

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

Combine like terms: 5y + -5y = 0
0 + -7z = 0 + -5y
-7z = 0 + -5y
Remove the zero:
-7z = -5y

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

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

Simplifying
0 = -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}

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