8-4x(x-1)=2+3(4-x)

Solution for 8-4x(x-1)=2+3(4-x) equation:

Simplifying
8 + -4x(x + -1) = 2 + 3(4 + -1x)

Reorder the terms:
8 + -4x(-1 + x) = 2 + 3(4 + -1x)
8 + (-1 * -4x + x * -4x) = 2 + 3(4 + -1x)
8 + (4x + -4x2) = 2 + 3(4 + -1x)
8 + 4x + -4x2 = 2 + (4 * 3 + -1x * 3)
8 + 4x + -4x2 = 2 + (12 + -3x)

Combine like terms: 2 + 12 = 14
8 + 4x + -4x2 = 14 + -3x

Solving
8 + 4x + -4x2 = 14 + -3x

Solving for variable 'x'.

Reorder the terms:
8 + -14 + 4x + 3x + -4x2 = 14 + -3x + -14 + 3x

Combine like terms: 8 + -14 = -6
-6 + 4x + 3x + -4x2 = 14 + -3x + -14 + 3x

Combine like terms: 4x + 3x = 7x
-6 + 7x + -4x2 = 14 + -3x + -14 + 3x

Reorder the terms:
-6 + 7x + -4x2 = 14 + -14 + -3x + 3x

Combine like terms: 14 + -14 = 0
-6 + 7x + -4x2 = 0 + -3x + 3x
-6 + 7x + -4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 7x + -4x2 = 0

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

Divide each side by '-4'.
1.5 + -1.75x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.75x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.75x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.75x + x2 = 0 + -1.5
-1.75x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.75x + x2 = -1.5

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -1.5 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -1.5 + 0.765625

Combine like terms: -1.5 + 0.765625 = -0.734375
0.765625 + -1.75x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.