(4x+16)+(5x-12)x=11

Solution for (4x+16)+(5x-12)x=11 equation:

Simplifying
(4x + 16) + (5x + -12) * x = 11

Reorder the terms:
(16 + 4x) + (5x + -12) * x = 11

Remove parenthesis around (16 + 4x)
16 + 4x + (5x + -12) * x = 11

Reorder the terms:
16 + 4x + (-12 + 5x) * x = 11

Reorder the terms for easier multiplication:
16 + 4x + x(-12 + 5x) = 11
16 + 4x + (-12 * x + 5x * x) = 11
16 + 4x + (-12x + 5x2) = 11

Combine like terms: 4x + -12x = -8x
16 + -8x + 5x2 = 11

Solving
16 + -8x + 5x2 = 11

Solving for variable 'x'.

Reorder the terms:
16 + -11 + -8x + 5x2 = 11 + -11

Combine like terms: 16 + -11 = 5
5 + -8x + 5x2 = 11 + -11

Combine like terms: 11 + -11 = 0
5 + -8x + 5x2 = 0

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

Divide each side by '5'.
1 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.6x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.6x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.6x + x2 = 0 + -1
-1.6x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.6x + x2 = -1

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -1 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -1 + 0.64

Combine like terms: -1 + 0.64 = -0.36
0.64 + -1.6x + x2 = -0.36

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -0.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.