-a(2-a)+3(a+9)=

Solution for -a(2-a)+3(a+9)= equation:

Simplifying
-1a(2 + -1a) + 3(a + 9) = 0
(2 * -1a + -1a * -1a) + 3(a + 9) = 0
(-2a + 1a2) + 3(a + 9) = 0

Reorder the terms:
-2a + 1a2 + 3(9 + a) = 0
-2a + 1a2 + (9 * 3 + a * 3) = 0
-2a + 1a2 + (27 + 3a) = 0

Reorder the terms:
27 + -2a + 3a + 1a2 = 0

Combine like terms: -2a + 3a = 1a
27 + 1a + 1a2 = 0

Solving
27 + 1a + 1a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + 1a + -27 + a2 = 0 + -27

Reorder the terms:
27 + -27 + 1a + a2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 1a + a2 = 0 + -27
1a + a2 = 0 + -27

Combine like terms: 0 + -27 = -27
1a + a2 = -27

The a term is 1a.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
a + 0.25 + a2 = -27 + 0.25

Reorder the terms:
0.25 + a + a2 = -27 + 0.25

Combine like terms: -27 + 0.25 = -26.75
0.25 + a + a2 = -26.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -26.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.