x+(16-x)*x=8+12(8)

Solution for x+(16-x)*x=8+12(8) equation:

Simplifying
x + (16 + -1x) * x = 8 + 12(8)

Reorder the terms for easier multiplication:
x + x(16 + -1x) = 8 + 12(8)
x + (16 * x + -1x * x) = 8 + 12(8)
x + (16x + -1x2) = 8 + 12(8)

Combine like terms: x + 16x = 17x
17x + -1x2 = 8 + 12(8)

Multiply 12 * 8
17x + -1x2 = 8 + 96

Combine like terms: 8 + 96 = 104
17x + -1x2 = 104

Solving
17x + -1x2 = 104

Solving for variable 'x'.

Reorder the terms:
-104 + 17x + -1x2 = 104 + -104

Combine like terms: 104 + -104 = 0
-104 + 17x + -1x2 = 0

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

Divide each side by '-1'.
104 + -17x + x2 = 0

Move the constant term to the right:

Add '-104' to each side of the equation.
104 + -17x + -104 + x2 = 0 + -104

Reorder the terms:
104 + -104 + -17x + x2 = 0 + -104

Combine like terms: 104 + -104 = 0
0 + -17x + x2 = 0 + -104
-17x + x2 = 0 + -104

Combine like terms: 0 + -104 = -104
-17x + x2 = -104

The x term is -17x.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17x + 72.25 + x2 = -104 + 72.25

Reorder the terms:
72.25 + -17x + x2 = -104 + 72.25

Combine like terms: -104 + 72.25 = -31.75
72.25 + -17x + x2 = -31.75

Factor a perfect square on the left side:
(x + -8.5)(x + -8.5) = -31.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.