5x(-3y+4z)=

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Solution for 5x(-3y+4z)= equation: 


Simplifying
5x(-3y + 4z) = 0
(-3y * 5x + 4z * 5x) = 0
(-15xy + 20xz) = 0

Solving
-15xy + 20xz = 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(-3y + 4z) = 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 '(-3y + 4z)' equal to zero and attempt to solve:

Simplifying
-3y + 4z = 0

Solving
-3y + 4z = 0

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

Add '3y' to each side of the equation.
-3y + 3y + 4z = 0 + 3y

Combine like terms: -3y + 3y = 0
0 + 4z = 0 + 3y
4z = 0 + 3y
Remove the zero:
4z = 3y

Add '-4z' to each side of the equation.
4z + -4z = 3y + -4z

Combine like terms: 4z + -4z = 0
0 = 3y + -4z

Simplifying
0 = 3y + -4z

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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