2cx-ca-bx+2ab-cb-ax=2(c-a)(c-b)

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Solution for 2cx-ca-bx+2ab-cb-ax=2(c-a)(c-b) equation: 


Simplifying
2cx + -1ca + -1bx + 2ab + -1cb + -1ax = 2(c + -1a)(c + -1b)

Reorder the terms:
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(c + -1a)(c + -1b)

Reorder the terms:
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(-1a + c)(c + -1b)

Reorder the terms:
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(-1a + c)(-1b + c)

Multiply (-1a + c) * (-1b + c)
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(-1a * (-1b + c) + c(-1b + c))
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2((-1b * -1a + c * -1a) + c(-1b + c))
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2((1ab + -1ac) + c(-1b + c))
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(1ab + -1ac + (-1b * c + c * c))
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(1ab + -1ac + (-1bc + c2))
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2(1ab + -1ac + -1bc + c2)
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = (1ab * 2 + -1ac * 2 + -1bc * 2 + c2 * 2)
2ab + -1ac + -1ax + -1bc + -1bx + 2cx = (2ab + -2ac + -2bc + 2c2)

Add '-2ab' to each side of the equation.
2ab + -1ac + -1ax + -1bc + -1bx + -2ab + 2cx = 2ab + -2ac + -2bc + -2ab + 2c2

Reorder the terms:
2ab + -2ab + -1ac + -1ax + -1bc + -1bx + 2cx = 2ab + -2ac + -2bc + -2ab + 2c2

Combine like terms: 2ab + -2ab = 0
0 + -1ac + -1ax + -1bc + -1bx + 2cx = 2ab + -2ac + -2bc + -2ab + 2c2
-1ac + -1ax + -1bc + -1bx + 2cx = 2ab + -2ac + -2bc + -2ab + 2c2

Reorder the terms:
-1ac + -1ax + -1bc + -1bx + 2cx = 2ab + -2ab + -2ac + -2bc + 2c2

Combine like terms: 2ab + -2ab = 0
-1ac + -1ax + -1bc + -1bx + 2cx = 0 + -2ac + -2bc + 2c2
-1ac + -1ax + -1bc + -1bx + 2cx = -2ac + -2bc + 2c2

Solving
-1ac + -1ax + -1bc + -1bx + 2cx = -2ac + -2bc + 2c2

Solving for variable 'a'.

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

Add '2ac' to each side of the equation.
-1ac + -1ax + -1bc + -1bx + 2ac + 2cx = -2ac + -2bc + 2ac + 2c2

Reorder the terms:
-1ac + 2ac + -1ax + -1bc + -1bx + 2cx = -2ac + -2bc + 2ac + 2c2

Combine like terms: -1ac + 2ac = 1ac
1ac + -1ax + -1bc + -1bx + 2cx = -2ac + -2bc + 2ac + 2c2

Reorder the terms:
1ac + -1ax + -1bc + -1bx + 2cx = -2ac + 2ac + -2bc + 2c2

Combine like terms: -2ac + 2ac = 0
1ac + -1ax + -1bc + -1bx + 2cx = 0 + -2bc + 2c2
1ac + -1ax + -1bc + -1bx + 2cx = -2bc + 2c2

Add 'bc' to each side of the equation.
1ac + -1ax + -1bc + -1bx + bc + 2cx = -2bc + bc + 2c2

Reorder the terms:
1ac + -1ax + -1bc + bc + -1bx + 2cx = -2bc + bc + 2c2

Combine like terms: -1bc + bc = 0
1ac + -1ax + 0 + -1bx + 2cx = -2bc + bc + 2c2
1ac + -1ax + -1bx + 2cx = -2bc + bc + 2c2

Combine like terms: -2bc + bc = -1bc
1ac + -1ax + -1bx + 2cx = -1bc + 2c2

Add 'bx' to each side of the equation.
1ac + -1ax + -1bx + bx + 2cx = -1bc + bx + 2c2

Combine like terms: -1bx + bx = 0
1ac + -1ax + 0 + 2cx = -1bc + bx + 2c2
1ac + -1ax + 2cx = -1bc + bx + 2c2

Add '-2cx' to each side of the equation.
1ac + -1ax + 2cx + -2cx = -1bc + bx + -2cx + 2c2

Combine like terms: 2cx + -2cx = 0
1ac + -1ax + 0 = -1bc + bx + -2cx + 2c2
1ac + -1ax = -1bc + bx + -2cx + 2c2

Reorder the terms:
1ac + -1ax + bc + -1bx + 2cx + -2c2 = -1bc + bc + bx + -1bx + -2cx + 2cx + 2c2 + -2c2

Combine like terms: -1bc + bc = 0
1ac + -1ax + bc + -1bx + 2cx + -2c2 = 0 + bx + -1bx + -2cx + 2cx + 2c2 + -2c2
1ac + -1ax + bc + -1bx + 2cx + -2c2 = bx + -1bx + -2cx + 2cx + 2c2 + -2c2

Combine like terms: bx + -1bx = 0
1ac + -1ax + bc + -1bx + 2cx + -2c2 = 0 + -2cx + 2cx + 2c2 + -2c2
1ac + -1ax + bc + -1bx + 2cx + -2c2 = -2cx + 2cx + 2c2 + -2c2

Combine like terms: -2cx + 2cx = 0
1ac + -1ax + bc + -1bx + 2cx + -2c2 = 0 + 2c2 + -2c2
1ac + -1ax + bc + -1bx + 2cx + -2c2 = 2c2 + -2c2

Combine like terms: 2c2 + -2c2 = 0
1ac + -1ax + bc + -1bx + 2cx + -2c2 = 0

The solution to this equation could not be determined.

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