(b-c)x^2+(c-a)x+a-b=0

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Solution for (b-c)x^2+(c-a)x+a-b=0 equation: 


Simplifying
(b + -1c) * x2 + (c + -1a) * x + a + -1b = 0

Reorder the terms for easier multiplication:
x2(b + -1c) + (c + -1a) * x + a + -1b = 0
(b * x2 + -1c * x2) + (c + -1a) * x + a + -1b = 0
(bx2 + -1cx2) + (c + -1a) * x + a + -1b = 0

Reorder the terms:
bx2 + -1cx2 + (-1a + c) * x + a + -1b = 0

Reorder the terms for easier multiplication:
bx2 + -1cx2 + x(-1a + c) + a + -1b = 0
bx2 + -1cx2 + (-1a * x + c * x) + a + -1b = 0
bx2 + -1cx2 + (-1ax + cx) + a + -1b = 0

Reorder the terms:
a + -1ax + -1b + bx2 + cx + -1cx2 = 0

Solving
a + -1ax + -1b + bx2 + cx + -1cx2 = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
a + -1ax + -1b + bx2 + cx + b + -1cx2 = 0 + b

Reorder the terms:
a + -1ax + -1b + b + bx2 + cx + -1cx2 = 0 + b

Combine like terms: -1b + b = 0
a + -1ax + 0 + bx2 + cx + -1cx2 = 0 + b
a + -1ax + bx2 + cx + -1cx2 = 0 + b
Remove the zero:
a + -1ax + bx2 + cx + -1cx2 = b

Add '-1bx2' to each side of the equation.
a + -1ax + bx2 + cx + -1bx2 + -1cx2 = b + -1bx2

Reorder the terms:
a + -1ax + bx2 + -1bx2 + cx + -1cx2 = b + -1bx2

Combine like terms: bx2 + -1bx2 = 0
a + -1ax + 0 + cx + -1cx2 = b + -1bx2
a + -1ax + cx + -1cx2 = b + -1bx2

Add '-1cx' to each side of the equation.
a + -1ax + cx + -1cx + -1cx2 = b + -1bx2 + -1cx

Combine like terms: cx + -1cx = 0
a + -1ax + 0 + -1cx2 = b + -1bx2 + -1cx
a + -1ax + -1cx2 = b + -1bx2 + -1cx

Add 'cx2' to each side of the equation.
a + -1ax + -1cx2 + cx2 = b + -1bx2 + -1cx + cx2

Combine like terms: -1cx2 + cx2 = 0
a + -1ax + 0 = b + -1bx2 + -1cx + cx2
a + -1ax = b + -1bx2 + -1cx + cx2

Reorder the terms:
a + -1ax + -1b + bx2 + cx + -1cx2 = b + -1b + -1bx2 + bx2 + -1cx + cx + cx2 + -1cx2

Combine like terms: b + -1b = 0
a + -1ax + -1b + bx2 + cx + -1cx2 = 0 + -1bx2 + bx2 + -1cx + cx + cx2 + -1cx2
a + -1ax + -1b + bx2 + cx + -1cx2 = -1bx2 + bx2 + -1cx + cx + cx2 + -1cx2

Combine like terms: -1bx2 + bx2 = 0
a + -1ax + -1b + bx2 + cx + -1cx2 = 0 + -1cx + cx + cx2 + -1cx2
a + -1ax + -1b + bx2 + cx + -1cx2 = -1cx + cx + cx2 + -1cx2

Combine like terms: -1cx + cx = 0
a + -1ax + -1b + bx2 + cx + -1cx2 = 0 + cx2 + -1cx2
a + -1ax + -1b + bx2 + cx + -1cx2 = cx2 + -1cx2

Combine like terms: cx2 + -1cx2 = 0
a + -1ax + -1b + bx2 + cx + -1cx2 = 0

The solution to this equation could not be determined.

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