a*b+b*c+a*c=a*b*c

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Solution for a*b+b*c+a*c=a*b*c equation:


Simplifying
a * b + b * c + a * c = a * b * c

Multiply a * b
ab + b * c + a * c = a * b * c

Multiply b * c
ab + bc + a * c = a * b * c

Multiply a * c
ab + bc + ac = a * b * c

Reorder the terms:
ab + ac + bc = a * b * c

Multiply a * b
ab + ac + bc = ab * c

Multiply ab * c
ab + ac + bc = abc

Solving
ab + ac + bc = abc

Solving for variable 'a'.

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

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

Reorder the terms:
ab + -1abc + ac + bc = abc + -1abc

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

Add '-1bc' to each side of the equation.
ab + -1abc + ac + bc + -1bc = 0 + -1bc

Combine like terms: bc + -1bc = 0
ab + -1abc + ac + 0 = 0 + -1bc
ab + -1abc + ac = 0 + -1bc
Remove the zero:
ab + -1abc + ac = -1bc

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

The solution to this equation could not be determined.

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