2(a+4)-a(3-a)=

Solution for 2(a+4)-a(3-a)= equation:

Simplifying
2(a + 4) + -1a(3 + -1a) = 0

Reorder the terms:
2(4 + a) + -1a(3 + -1a) = 0
(4 * 2 + a * 2) + -1a(3 + -1a) = 0
(8 + 2a) + -1a(3 + -1a) = 0
8 + 2a + (3 * -1a + -1a * -1a) = 0
8 + 2a + (-3a + 1a2) = 0

Combine like terms: 2a + -3a = -1a
8 + -1a + 1a2 = 0

Solving
8 + -1a + 1a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -1a + -8 + a2 = 0 + -8

Reorder the terms:
8 + -8 + -1a + a2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a + a2 = 0 + -8
-1a + a2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1a + a2 = -8

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.
-1a + 0.25 + a2 = -8 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + -1a + a2 = -7.75

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.