x(3-5a)+3(a-1)=(a-1)(a+1)-2ax

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Solution for x(3-5a)+3(a-1)=(a-1)(a+1)-2ax equation: 


Simplifying
x(3 + -5a) + 3(a + -1) = (a + -1)(a + 1) + -2ax
(3 * x + -5a * x) + 3(a + -1) = (a + -1)(a + 1) + -2ax

Reorder the terms:
(-5ax + 3x) + 3(a + -1) = (a + -1)(a + 1) + -2ax
(-5ax + 3x) + 3(a + -1) = (a + -1)(a + 1) + -2ax

Reorder the terms:
-5ax + 3x + 3(-1 + a) = (a + -1)(a + 1) + -2ax
-5ax + 3x + (-1 * 3 + a * 3) = (a + -1)(a + 1) + -2ax
-5ax + 3x + (-3 + 3a) = (a + -1)(a + 1) + -2ax

Reorder the terms:
-3 + 3a + -5ax + 3x = (a + -1)(a + 1) + -2ax

Reorder the terms:
-3 + 3a + -5ax + 3x = (-1 + a)(a + 1) + -2ax

Reorder the terms:
-3 + 3a + -5ax + 3x = (-1 + a)(1 + a) + -2ax

Multiply (-1 + a) * (1 + a)
-3 + 3a + -5ax + 3x = (-1(1 + a) + a(1 + a)) + -2ax
-3 + 3a + -5ax + 3x = ((1 * -1 + a * -1) + a(1 + a)) + -2ax
-3 + 3a + -5ax + 3x = ((-1 + -1a) + a(1 + a)) + -2ax
-3 + 3a + -5ax + 3x = (-1 + -1a + (1 * a + a * a)) + -2ax
-3 + 3a + -5ax + 3x = (-1 + -1a + (1a + a2)) + -2ax

Combine like terms: -1a + 1a = 0
-3 + 3a + -5ax + 3x = (-1 + 0 + a2) + -2ax
-3 + 3a + -5ax + 3x = (-1 + a2) + -2ax

Reorder the terms:
-3 + 3a + -5ax + 3x = -1 + -2ax + a2

Solving
-3 + 3a + -5ax + 3x = -1 + -2ax + a2

Solving for variable 'a'.

Reorder the terms:
-3 + 1 + 3a + -5ax + 2ax + -1a2 + 3x = -1 + -2ax + a2 + 1 + 2ax + -1a2

Combine like terms: -3 + 1 = -2
-2 + 3a + -5ax + 2ax + -1a2 + 3x = -1 + -2ax + a2 + 1 + 2ax + -1a2

Combine like terms: -5ax + 2ax = -3ax
-2 + 3a + -3ax + -1a2 + 3x = -1 + -2ax + a2 + 1 + 2ax + -1a2

Reorder the terms:
-2 + 3a + -3ax + -1a2 + 3x = -1 + 1 + -2ax + 2ax + a2 + -1a2

Combine like terms: -1 + 1 = 0
-2 + 3a + -3ax + -1a2 + 3x = 0 + -2ax + 2ax + a2 + -1a2
-2 + 3a + -3ax + -1a2 + 3x = -2ax + 2ax + a2 + -1a2

Combine like terms: -2ax + 2ax = 0
-2 + 3a + -3ax + -1a2 + 3x = 0 + a2 + -1a2
-2 + 3a + -3ax + -1a2 + 3x = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-2 + 3a + -3ax + -1a2 + 3x = 0

The solution to this equation could not be determined.

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