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

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

Simplifying
4x + -3(x + 4) = x2

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

Reorder the terms:
-12 + 4x + -3x = x2

Combine like terms: 4x + -3x = 1x
-12 + 1x = x2

Solving
-12 + 1x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-12 + 1x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
12 + -1x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -1x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -1x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x + x2 = 0 + -12
-1x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1x + x2 = -12

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -12 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -12 + 0.25

Combine like terms: -12 + 0.25 = -11.75
0.25 + -1x + x2 = -11.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.