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

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

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

Reorder the terms:
4x(-1 + x) + 3(3 + x) = 2
(-1 * 4x + x * 4x) + 3(3 + x) = 2
(-4x + 4x2) + 3(3 + x) = 2
-4x + 4x2 + (3 * 3 + x * 3) = 2
-4x + 4x2 + (9 + 3x) = 2

Reorder the terms:
9 + -4x + 3x + 4x2 = 2

Combine like terms: -4x + 3x = -1x
9 + -1x + 4x2 = 2

Solving
9 + -1x + 4x2 = 2

Solving for variable 'x'.

Reorder the terms:
9 + -2 + -1x + 4x2 = 2 + -2

Combine like terms: 9 + -2 = 7
7 + -1x + 4x2 = 2 + -2

Combine like terms: 2 + -2 = 0
7 + -1x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -0.25x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -0.25x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -0.25x + x2 = 0 + -1.75
-0.25x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-0.25x + x2 = -1.75

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 = -1.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.75 + 0.015625

Combine like terms: -1.75 + 0.015625 = -1.734375
0.015625 + -0.25x + x2 = -1.734375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.