X(Z+Y)=

Solution for X(Z+Y)= equation:

Simplifying
X(Z + Y) = 0

Reorder the terms:
X(Y + Z) = 0
(Y * X + Z * X) = 0
(XY + XZ) = 0

Solving
XY + XZ = 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), 'X'.
X(Y + Z) = 0

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 '(Y + Z)' equal to zero and attempt to solve:

Simplifying
Y + Z = 0

Solving
Y + Z = 0

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

Add '-1Y' to each side of the equation.
Y + -1Y + Z = 0 + -1Y

Combine like terms: Y + -1Y = 0
0 + Z = 0 + -1Y
Z = 0 + -1Y
Remove the zero:
Z = -1Y

Add '-1Z' to each side of the equation.
Z + -1Z = -1Y + -1Z

Combine like terms: Z + -1Z = 0
0 = -1Y + -1Z

Simplifying
0 = -1Y + -1Z

The solution to this equation could not be determined.

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