a(a-3)=-4(a+8)

Solution for a(a-3)=-4(a+8) equation:

Simplifying
a(a + -3) = -4(a + 8)

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

Reorder the terms:
-3a + a2 = -4(8 + a)
-3a + a2 = (8 * -4 + a * -4)
-3a + a2 = (-32 + -4a)

Solving
-3a + a2 = -32 + -4a

Solving for variable 'a'.

Reorder the terms:
32 + -3a + 4a + a2 = -32 + -4a + 32 + 4a

Combine like terms: -3a + 4a = 1a
32 + 1a + a2 = -32 + -4a + 32 + 4a

Reorder the terms:
32 + 1a + a2 = -32 + 32 + -4a + 4a

Combine like terms: -32 + 32 = 0
32 + 1a + a2 = 0 + -4a + 4a
32 + 1a + a2 = -4a + 4a

Combine like terms: -4a + 4a = 0
32 + 1a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + 1a + -32 + a2 = 0 + -32

Reorder the terms:
32 + -32 + 1a + a2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 1a + a2 = 0 + -32
1a + a2 = 0 + -32

Combine like terms: 0 + -32 = -32
1a + a2 = -32

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 = -32 + 0.25

Reorder the terms:
0.25 + a + a2 = -32 + 0.25

Combine like terms: -32 + 0.25 = -31.75
0.25 + a + a2 = -31.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -31.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.