3ax+2b(x-1)+2bx+3a(x-1)=0

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Solution for 3ax+2b(x-1)+2bx+3a(x-1)=0 equation:


Simplifying
3ax + 2b(x + -1) + 2bx + 3a(x + -1) = 0

Reorder the terms:
3ax + 2b(-1 + x) + 2bx + 3a(x + -1) = 0
3ax + (-1 * 2b + x * 2b) + 2bx + 3a(x + -1) = 0
3ax + (-2b + 2bx) + 2bx + 3a(x + -1) = 0

Reorder the terms:
3ax + -2b + 2bx + 2bx + 3a(-1 + x) = 0
3ax + -2b + 2bx + 2bx + (-1 * 3a + x * 3a) = 0
3ax + -2b + 2bx + 2bx + (-3a + 3ax) = 0

Reorder the terms:
-3a + 3ax + 3ax + -2b + 2bx + 2bx = 0

Combine like terms: 3ax + 3ax = 6ax
-3a + 6ax + -2b + 2bx + 2bx = 0

Combine like terms: 2bx + 2bx = 4bx
-3a + 6ax + -2b + 4bx = 0

Solving
-3a + 6ax + -2b + 4bx = 0

Solving for variable 'a'.

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

Add '2b' to each side of the equation.
-3a + 6ax + -2b + 2b + 4bx = 0 + 2b

Combine like terms: -2b + 2b = 0
-3a + 6ax + 0 + 4bx = 0 + 2b
-3a + 6ax + 4bx = 0 + 2b
Remove the zero:
-3a + 6ax + 4bx = 2b

Add '-4bx' to each side of the equation.
-3a + 6ax + 4bx + -4bx = 2b + -4bx

Combine like terms: 4bx + -4bx = 0
-3a + 6ax + 0 = 2b + -4bx
-3a + 6ax = 2b + -4bx

Reorder the terms:
-3a + 6ax + -2b + 4bx = 2b + -2b + -4bx + 4bx

Combine like terms: 2b + -2b = 0
-3a + 6ax + -2b + 4bx = 0 + -4bx + 4bx
-3a + 6ax + -2b + 4bx = -4bx + 4bx

Combine like terms: -4bx + 4bx = 0
-3a + 6ax + -2b + 4bx = 0

The solution to this equation could not be determined.

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