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

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


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

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

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

Reorder the terms:
x2 + (-4ax + 2x) + a = 0
x2 + (-4ax + 2x) + a = 0

Reorder the terms:
a + -4ax + 2x + x2 = 0

Solving
a + -4ax + 2x + x2 = 0

Solving for variable 'a'.

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

Add '-2x' to each side of the equation.
a + -4ax + 2x + -2x + x2 = 0 + -2x

Combine like terms: 2x + -2x = 0
a + -4ax + 0 + x2 = 0 + -2x
a + -4ax + x2 = 0 + -2x
Remove the zero:
a + -4ax + x2 = -2x

Add '-1x2' to each side of the equation.
a + -4ax + x2 + -1x2 = -2x + -1x2

Combine like terms: x2 + -1x2 = 0
a + -4ax + 0 = -2x + -1x2
a + -4ax = -2x + -1x2

Reorder the terms:
a + -4ax + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
a + -4ax + 2x + x2 = 0 + -1x2 + x2
a + -4ax + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
a + -4ax + 2x + x2 = 0

The solution to this equation could not be determined.

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