8a(1a-2)=-5(a+6)

Solution for 8a(1a-2)=-5(a+6) equation:

Simplifying
8a(1a + -2) = -5(a + 6)

Reorder the terms:
8a(-2 + 1a) = -5(a + 6)
(-2 * 8a + 1a * 8a) = -5(a + 6)
(-16a + 8a2) = -5(a + 6)

Reorder the terms:
-16a + 8a2 = -5(6 + a)
-16a + 8a2 = (6 * -5 + a * -5)
-16a + 8a2 = (-30 + -5a)

Solving
-16a + 8a2 = -30 + -5a

Solving for variable 'a'.

Reorder the terms:
30 + -16a + 5a + 8a2 = -30 + -5a + 30 + 5a

Combine like terms: -16a + 5a = -11a
30 + -11a + 8a2 = -30 + -5a + 30 + 5a

Reorder the terms:
30 + -11a + 8a2 = -30 + 30 + -5a + 5a

Combine like terms: -30 + 30 = 0
30 + -11a + 8a2 = 0 + -5a + 5a
30 + -11a + 8a2 = -5a + 5a

Combine like terms: -5a + 5a = 0
30 + -11a + 8a2 = 0

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

Divide each side by '8'.
3.75 + -1.375a + a2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -1.375a + -3.75 + a2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -1.375a + a2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -1.375a + a2 = 0 + -3.75
-1.375a + a2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-1.375a + a2 = -3.75

The a term is -1.375a.  Take half its coefficient (-0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
-1.375a + 0.47265625 + a2 = -3.75 + 0.47265625

Reorder the terms:
0.47265625 + -1.375a + a2 = -3.75 + 0.47265625

Combine like terms: -3.75 + 0.47265625 = -3.27734375
0.47265625 + -1.375a + a2 = -3.27734375

Factor a perfect square on the left side:
(a + -0.6875)(a + -0.6875) = -3.27734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.