2x-[11x(x-4)+3]=77

Solution for 2x-[11x(x-4)+3]=77 equation:

Simplifying
2x + -1[11x(x + -4) + 3] = 77

Reorder the terms:
2x + -1[11x(-4 + x) + 3] = 77
2x + -1[(-4 * 11x + x * 11x) + 3] = 77
2x + -1[(-44x + 11x2) + 3] = 77

Reorder the terms:
2x + -1[3 + -44x + 11x2] = 77
2x + [3 * -1 + -44x * -1 + 11x2 * -1] = 77
2x + [-3 + 44x + -11x2] = 77

Reorder the terms:
-3 + 2x + 44x + -11x2 = 77

Combine like terms: 2x + 44x = 46x
-3 + 46x + -11x2 = 77

Solving
-3 + 46x + -11x2 = 77

Solving for variable 'x'.

Reorder the terms:
-3 + -77 + 46x + -11x2 = 77 + -77

Combine like terms: -3 + -77 = -80
-80 + 46x + -11x2 = 77 + -77

Combine like terms: 77 + -77 = 0
-80 + 46x + -11x2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
7.272727273 + -4.181818182x + x2 = 0

Move the constant term to the right:

Add '-7.272727273' to each side of the equation.
7.272727273 + -4.181818182x + -7.272727273 + x2 = 0 + -7.272727273

Reorder the terms:
7.272727273 + -7.272727273 + -4.181818182x + x2 = 0 + -7.272727273

Combine like terms: 7.272727273 + -7.272727273 = 0.000000000
0.000000000 + -4.181818182x + x2 = 0 + -7.272727273
-4.181818182x + x2 = 0 + -7.272727273

Combine like terms: 0 + -7.272727273 = -7.272727273
-4.181818182x + x2 = -7.272727273

The x term is -4.181818182x.  Take half its coefficient (-2.090909091).
Square it (4.371900827) and add it to both sides.

Add '4.371900827' to each side of the equation.
-4.181818182x + 4.371900827 + x2 = -7.272727273 + 4.371900827

Reorder the terms:
4.371900827 + -4.181818182x + x2 = -7.272727273 + 4.371900827

Combine like terms: -7.272727273 + 4.371900827 = -2.900826446
4.371900827 + -4.181818182x + x2 = -2.900826446

Factor a perfect square on the left side:
(x + -2.090909091)(x + -2.090909091) = -2.900826446

Can't calculate square root of the right side.

The solution to this equation could not be determined.