x*(y+z)=(x*y)+(x*z)

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Solution for x*(y+z)=(x*y)+(x*z) equation:


Simplifying
x(y + z) = (x * y) + (x * z)
(y * x + z * x) = (x * y) + (x * z)
(xy + xz) = (x * y) + (x * z)

Multiply x * y
xy + xz = (xy) + (x * z)
xy + xz = xy + (x * z)

Multiply x * z
xy + xz = xy + (xz)
xy + xz = xy + xz

Add '-1xy' to each side of the equation.
xy + -1xy + xz = xy + -1xy + xz

Combine like terms: xy + -1xy = 0
0 + xz = xy + -1xy + xz
xz = xy + -1xy + xz

Combine like terms: xy + -1xy = 0
xz = 0 + xz
xz = xz

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

Combine like terms: xz + -1xz = 0
0 = xz + -1xz

Combine like terms: xz + -1xz = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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