34x^2-x=2x-3

Solution for 34x^2-x=2x-3 equation:

Simplifying
34x2 + -1x = 2x + -3

Reorder the terms:
-1x + 34x2 = 2x + -3

Reorder the terms:
-1x + 34x2 = -3 + 2x

Solving
-1x + 34x2 = -3 + 2x

Solving for variable 'x'.

Reorder the terms:
3 + -1x + -2x + 34x2 = -3 + 2x + 3 + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x + 34x2 = -3 + 2x + 3 + -2x

Reorder the terms:
3 + -3x + 34x2 = -3 + 3 + 2x + -2x

Combine like terms: -3 + 3 = 0
3 + -3x + 34x2 = 0 + 2x + -2x
3 + -3x + 34x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -3x + 34x2 = 0

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

Divide each side by '34'.
0.08823529412 + -0.08823529412x + x2 = 0

Move the constant term to the right:

Add '-0.08823529412' to each side of the equation.
0.08823529412 + -0.08823529412x + -0.08823529412 + x2 = 0 + -0.08823529412

Reorder the terms:
0.08823529412 + -0.08823529412 + -0.08823529412x + x2 = 0 + -0.08823529412

Combine like terms: 0.08823529412 + -0.08823529412 = 0.00000000000
0.00000000000 + -0.08823529412x + x2 = 0 + -0.08823529412
-0.08823529412x + x2 = 0 + -0.08823529412

Combine like terms: 0 + -0.08823529412 = -0.08823529412
-0.08823529412x + x2 = -0.08823529412

The x term is -0.08823529412x.  Take half its coefficient (-0.04411764706).
Square it (0.001946366782) and add it to both sides.

Add '0.001946366782' to each side of the equation.
-0.08823529412x + 0.001946366782 + x2 = -0.08823529412 + 0.001946366782

Reorder the terms:
0.001946366782 + -0.08823529412x + x2 = -0.08823529412 + 0.001946366782

Combine like terms: -0.08823529412 + 0.001946366782 = -0.086288927338
0.001946366782 + -0.08823529412x + x2 = -0.086288927338

Factor a perfect square on the left side:
(x + -0.04411764706)(x + -0.04411764706) = -0.086288927338

Can't calculate square root of the right side.

The solution to this equation could not be determined.