x^2-2x+3a=0

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Solution for x^2-2x+3a=0 equation:


Simplifying
x2 + -2x + 3a = 0

Reorder the terms:
3a + -2x + x2 = 0

Solving
3a + -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.
3a + -2x + 2x + x2 = 0 + 2x

Combine like terms: -2x + 2x = 0
3a + 0 + x2 = 0 + 2x
3a + x2 = 0 + 2x
Remove the zero:
3a + x2 = 2x

Add '-1x2' to each side of the equation.
3a + x2 + -1x2 = 2x + -1x2

Combine like terms: x2 + -1x2 = 0
3a + 0 = 2x + -1x2
3a = 2x + -1x2

Divide each side by '3'.
a = 0.6666666667x + -0.3333333333x2

Simplifying
a = 0.6666666667x + -0.3333333333x2

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