5x(-2+3z)=

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Solution for 5x(-2+3z)= equation: 


Simplifying
5x(-2 + 3z) = 0
(-2 * 5x + 3z * 5x) = 0
(-10x + 15xz) = 0

Solving
-10x + 15xz = 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(-2 + 3z) = 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 '(-2 + 3z)' equal to zero and attempt to solve:

Simplifying
-2 + 3z = 0

Solving
-2 + 3z = 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 + 3z = 0 + 2

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

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

Add '-3z' to each side of the equation.
3z + -3z = 2 + -3z

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

Simplifying
0 = 2 + -3z

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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