Ax^2-(2a-1)x+a-2=0

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Solution for Ax^2-(2a-1)x+a-2=0 equation: 


Simplifying
Ax2 + -1(2a + -1) * x + a + -2 = 0

Reorder the terms:
x2A + -1(-1 + 2a) * x + a + -2 = 0

Reorder the terms for easier multiplication:
x2A + -1x(-1 + 2a) + a + -2 = 0
x2A + (-1 * -1x + 2a * -1x) + a + -2 = 0

Reorder the terms:
x2A + (-2ax + 1x) + a + -2 = 0
x2A + (-2ax + 1x) + a + -2 = 0

Reorder the terms:
-2 + a + -2ax + 1x + x2A = 0

Solving
-2 + a + -2ax + 1x + x2A = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + a + -2ax + 1x + 2 + x2A = 0 + 2

Reorder the terms:
-2 + 2 + a + -2ax + 1x + x2A = 0 + 2

Combine like terms: -2 + 2 = 0
0 + a + -2ax + 1x + x2A = 0 + 2
a + -2ax + 1x + x2A = 0 + 2

Combine like terms: 0 + 2 = 2
a + -2ax + 1x + x2A = 2

Add '-1x' to each side of the equation.
a + -2ax + 1x + -1x + x2A = 2 + -1x

Combine like terms: 1x + -1x = 0
a + -2ax + 0 + x2A = 2 + -1x
a + -2ax + x2A = 2 + -1x

Add '-1x2A' to each side of the equation.
a + -2ax + x2A + -1x2A = 2 + -1x + -1x2A

Combine like terms: x2A + -1x2A = 0
a + -2ax + 0 = 2 + -1x + -1x2A
a + -2ax = 2 + -1x + -1x2A

Reorder the terms:
-2 + a + -2ax + x + x2A = 2 + -1x + -1x2A + -2 + x + x2A

Reorder the terms:
-2 + a + -2ax + x + x2A = 2 + -2 + -1x + x + -1x2A + x2A

Combine like terms: 2 + -2 = 0
-2 + a + -2ax + x + x2A = 0 + -1x + x + -1x2A + x2A
-2 + a + -2ax + x + x2A = -1x + x + -1x2A + x2A

Combine like terms: -1x + x = 0
-2 + a + -2ax + x + x2A = 0 + -1x2A + x2A
-2 + a + -2ax + x + x2A = -1x2A + x2A

Combine like terms: -1x2A + x2A = 0
-2 + a + -2ax + x + x2A = 0

The solution to this equation could not be determined.

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