10x^2-2x+2=3x-4

Solution for 10x^2-2x+2=3x-4 equation:

Simplifying
10x2 + -2x + 2 = 3x + -4

Reorder the terms:
2 + -2x + 10x2 = 3x + -4

Reorder the terms:
2 + -2x + 10x2 = -4 + 3x

Solving
2 + -2x + 10x2 = -4 + 3x

Solving for variable 'x'.

Reorder the terms:
2 + 4 + -2x + -3x + 10x2 = -4 + 3x + 4 + -3x

Combine like terms: 2 + 4 = 6
6 + -2x + -3x + 10x2 = -4 + 3x + 4 + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x + 10x2 = -4 + 3x + 4 + -3x

Reorder the terms:
6 + -5x + 10x2 = -4 + 4 + 3x + -3x

Combine like terms: -4 + 4 = 0
6 + -5x + 10x2 = 0 + 3x + -3x
6 + -5x + 10x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x + 10x2 = 0

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

Divide each side by '10'.
0.6 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.5x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.5x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.5x + x2 = 0 + -0.6
-0.5x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.5x + x2 = -0.6

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.6 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.6 + 0.0625

Combine like terms: -0.6 + 0.0625 = -0.5375
0.0625 + -0.5x + x2 = -0.5375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.5375

Can't calculate square root of the right side.

The solution to this equation could not be determined.