-.25x(x-8)+.5(x+2)=x+9

Solution for -.25x(x-8)+.5(x+2)=x+9 equation:

Simplifying
-0.25x(x + -8) + 0.5(x + 2) = x + 9

Reorder the terms:
-0.25x(-8 + x) + 0.5(x + 2) = x + 9
(-8 * -0.25x + x * -0.25x) + 0.5(x + 2) = x + 9
(2x + -0.25x2) + 0.5(x + 2) = x + 9

Reorder the terms:
2x + -0.25x2 + 0.5(2 + x) = x + 9
2x + -0.25x2 + (2 * 0.5 + x * 0.5) = x + 9
2x + -0.25x2 + (1 + 0.5x) = x + 9

Reorder the terms:
1 + 2x + 0.5x + -0.25x2 = x + 9

Combine like terms: 2x + 0.5x = 2.5x
1 + 2.5x + -0.25x2 = x + 9

Reorder the terms:
1 + 2.5x + -0.25x2 = 9 + x

Solving
1 + 2.5x + -0.25x2 = 9 + x

Solving for variable 'x'.

Reorder the terms:
1 + -9 + 2.5x + -1x + -0.25x2 = 9 + x + -9 + -1x

Combine like terms: 1 + -9 = -8
-8 + 2.5x + -1x + -0.25x2 = 9 + x + -9 + -1x

Combine like terms: 2.5x + -1x = 1.5x
-8 + 1.5x + -0.25x2 = 9 + x + -9 + -1x

Reorder the terms:
-8 + 1.5x + -0.25x2 = 9 + -9 + x + -1x

Combine like terms: 9 + -9 = 0
-8 + 1.5x + -0.25x2 = 0 + x + -1x
-8 + 1.5x + -0.25x2 = x + -1x

Combine like terms: x + -1x = 0
-8 + 1.5x + -0.25x2 = 0

Begin completing the square.  Divide all terms by
-0.25 the coefficient of the squared term: 

Divide each side by '-0.25'.
32 + -6x + x2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -6x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -6x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -6x + x2 = 0 + -32
-6x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-6x + x2 = -32

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -32 + 9

Reorder the terms:
9 + -6x + x2 = -32 + 9

Combine like terms: -32 + 9 = -23
9 + -6x + x2 = -23

Factor a perfect square on the left side:
(x + -3)(x + -3) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.