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

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


Simplifying
x2 + (2a + -1) * x + -2a = 0

Reorder the terms:
x2 + (-1 + 2a) * x + -2a = 0

Reorder the terms for easier multiplication:
x2 + x(-1 + 2a) + -2a = 0
x2 + (-1 * x + 2a * x) + -2a = 0

Reorder the terms:
x2 + (2ax + -1x) + -2a = 0
x2 + (2ax + -1x) + -2a = 0

Reorder the terms:
-2a + 2ax + -1x + x2 = 0

Solving
-2a + 2ax + -1x + x2 = 0

Solving for variable 'a'.

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

Add 'x' to each side of the equation.
-2a + 2ax + -1x + x + x2 = 0 + x

Combine like terms: -1x + x = 0
-2a + 2ax + 0 + x2 = 0 + x
-2a + 2ax + x2 = 0 + x
Remove the zero:
-2a + 2ax + x2 = x

Add '-1x2' to each side of the equation.
-2a + 2ax + x2 + -1x2 = x + -1x2

Combine like terms: x2 + -1x2 = 0
-2a + 2ax + 0 = x + -1x2
-2a + 2ax = x + -1x2

Reorder the terms:
-2a + 2ax + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-2a + 2ax + -1x + x2 = 0 + -1x2 + x2
-2a + 2ax + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2a + 2ax + -1x + x2 = 0

The solution to this equation could not be determined.

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