9x^2+3x=2x-1

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Solution for 9x^2+3x=2x-1 equation:


Simplifying
9x2 + 3x = 2x + -1

Reorder the terms:
3x + 9x2 = 2x + -1

Reorder the terms:
3x + 9x2 = -1 + 2x

Solving
3x + 9x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
1 + 3x + -2x + 9x2 = -1 + 2x + 1 + -2x

Combine like terms: 3x + -2x = 1x
1 + 1x + 9x2 = -1 + 2x + 1 + -2x

Reorder the terms:
1 + 1x + 9x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
1 + 1x + 9x2 = 0 + 2x + -2x
1 + 1x + 9x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 1x + 9x2 = 0

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

Divide each side by '9'.
0.1111111111 + 0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + 0.1111111111x + -0.1111111111 + x2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + 0.1111111111x + x2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + 0.1111111111x + x2 = 0 + -0.1111111111
0.1111111111x + x2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
0.1111111111x + x2 = -0.1111111111

The x term is 0.1111111111x.  Take half its coefficient (0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
0.1111111111x + 0.003086419752 + x2 = -0.1111111111 + 0.003086419752

Reorder the terms:
0.003086419752 + 0.1111111111x + x2 = -0.1111111111 + 0.003086419752

Combine like terms: -0.1111111111 + 0.003086419752 = -0.108024691348
0.003086419752 + 0.1111111111x + x2 = -0.108024691348

Factor a perfect square on the left side:
(x + 0.05555555555)(x + 0.05555555555) = -0.108024691348

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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