b+c+a*c+a+b=(a+b+c)2

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Solution for b+c+a*c+a+b=(a+b+c)2 equation:


Simplifying
b + c + a * c + a + b = (a + b + c) * 2

Multiply a * c
b + c + ac + a + b = (a + b + c) * 2

Reorder the terms:
a + ac + b + b + c = (a + b + c) * 2

Combine like terms: b + b = 2b
a + ac + 2b + c = (a + b + c) * 2

Reorder the terms for easier multiplication:
a + ac + 2b + c = 2(a + b + c)
a + ac + 2b + c = (a * 2 + b * 2 + c * 2)
a + ac + 2b + c = (2a + 2b + 2c)

Add '-2b' to each side of the equation.
a + ac + 2b + -2b + c = 2a + 2b + -2b + 2c

Combine like terms: 2b + -2b = 0
a + ac + 0 + c = 2a + 2b + -2b + 2c
a + ac + c = 2a + 2b + -2b + 2c

Combine like terms: 2b + -2b = 0
a + ac + c = 2a + 0 + 2c
a + ac + c = 2a + 2c

Solving
a + ac + c = 2a + 2c

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
a + ac + -2a + c = 2a + -2a + 2c

Reorder the terms:
a + -2a + ac + c = 2a + -2a + 2c

Combine like terms: a + -2a = -1a
-1a + ac + c = 2a + -2a + 2c

Combine like terms: 2a + -2a = 0
-1a + ac + c = 0 + 2c
-1a + ac + c = 2c

Add '-1c' to each side of the equation.
-1a + ac + c + -1c = 2c + -1c

Combine like terms: c + -1c = 0
-1a + ac + 0 = 2c + -1c
-1a + ac = 2c + -1c

Combine like terms: 2c + -1c = 1c
-1a + ac = 1c

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

The solution to this equation could not be determined.

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