a(b+c)=a(b)+a(c)

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Solution for a(b+c)=a(b)+a(c) equation: 


Simplifying
a(b + c) = a(b) + a(c)
(b * a + c * a) = a(b) + a(c)
(ab + ac) = a(b) + a(c)

Multiply a * b
ab + ac = ab + a(c)

Multiply a * c
ab + ac = ab + ac

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

Combine like terms: ab + -1ab = 0
0 + ac = ab + -1ab + ac
ac = ab + -1ab + ac

Combine like terms: ab + -1ab = 0
ac = 0 + ac
ac = ac

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

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

Combine like terms: ac + -1ac = 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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