4x^2-4x+7x=2(x-1)

Solution for 4x^2-4x+7x=2(x-1) equation:

Simplifying
4x2 + -4x + 7x = 2(x + -1)

Reorder the terms:
-4x + 7x + 4x2 = 2(x + -1)

Combine like terms: -4x + 7x = 3x
3x + 4x2 = 2(x + -1)

Reorder the terms:
3x + 4x2 = 2(-1 + x)
3x + 4x2 = (-1 * 2 + x * 2)
3x + 4x2 = (-2 + 2x)

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

Solving for variable 'x'.

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

Combine like terms: 3x + -2x = 1x
2 + 1x + 4x2 = -2 + 2x + 2 + -2x

Reorder the terms:
2 + 1x + 4x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
2 + 1x + 4x2 = 0 + 2x + -2x
2 + 1x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x + 4x2 = 0

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

Divide each side by '4'.
0.5 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.25x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.25x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.25x + x2 = 0 + -0.5
0.25x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
0.25x + x2 = -0.5

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.5 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.5 + 0.015625

Combine like terms: -0.5 + 0.015625 = -0.484375
0.015625 + 0.25x + x2 = -0.484375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.