-x(4x+3)+4(6x+1)=43

Solution for -x(4x+3)+4(6x+1)=43 equation:

Simplifying
-1x(4x + 3) + 4(6x + 1) = 43

Reorder the terms:
-1x(3 + 4x) + 4(6x + 1) = 43
(3 * -1x + 4x * -1x) + 4(6x + 1) = 43
(-3x + -4x2) + 4(6x + 1) = 43

Reorder the terms:
-3x + -4x2 + 4(1 + 6x) = 43
-3x + -4x2 + (1 * 4 + 6x * 4) = 43
-3x + -4x2 + (4 + 24x) = 43

Reorder the terms:
4 + -3x + 24x + -4x2 = 43

Combine like terms: -3x + 24x = 21x
4 + 21x + -4x2 = 43

Solving
4 + 21x + -4x2 = 43

Solving for variable 'x'.

Reorder the terms:
4 + -43 + 21x + -4x2 = 43 + -43

Combine like terms: 4 + -43 = -39
-39 + 21x + -4x2 = 43 + -43

Combine like terms: 43 + -43 = 0
-39 + 21x + -4x2 = 0

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

Divide each side by '-4'.
9.75 + -5.25x + x2 = 0

Move the constant term to the right:

Add '-9.75' to each side of the equation.
9.75 + -5.25x + -9.75 + x2 = 0 + -9.75

Reorder the terms:
9.75 + -9.75 + -5.25x + x2 = 0 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + -5.25x + x2 = 0 + -9.75
-5.25x + x2 = 0 + -9.75

Combine like terms: 0 + -9.75 = -9.75
-5.25x + x2 = -9.75

The x term is -5.25x.  Take half its coefficient (-2.625).
Square it (6.890625) and add it to both sides.

Add '6.890625' to each side of the equation.
-5.25x + 6.890625 + x2 = -9.75 + 6.890625

Reorder the terms:
6.890625 + -5.25x + x2 = -9.75 + 6.890625

Combine like terms: -9.75 + 6.890625 = -2.859375
6.890625 + -5.25x + x2 = -2.859375

Factor a perfect square on the left side:
(x + -2.625)(x + -2.625) = -2.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.