-3x^2+2x=1

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Solution for -3x^2+2x=1 equation: 


Simplifying
-3x2 + 2x = 1

Reorder the terms:
2x + -3x2 = 1

Solving
2x + -3x2 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + 2x + -3x2 = 1 + -1

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

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.3333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.6666666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.6666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.3333333333
-0.6666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.6666666667x + x2 = -0.3333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.3333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.3333333333 + 0.1111111112

Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221
0.1111111112 + -0.6666666667x + x2 = -0.2222222221

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.2222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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