0=a^2+a+128

Solution for 0=a^2+a+128 equation:

Simplifying
0 = a2 + a + 128

Reorder the terms:
0 = 128 + a + a2

Solving
0 = 128 + a + a2

Solving for variable 'a'.

Combine like terms: 0 + -128 = -128
-128 + -1a + -1a2 = 128 + a + a2 + -128 + -1a + -1a2

Reorder the terms:
-128 + -1a + -1a2 = 128 + -128 + a + -1a + a2 + -1a2

Combine like terms: 128 + -128 = 0
-128 + -1a + -1a2 = 0 + a + -1a + a2 + -1a2
-128 + -1a + -1a2 = a + -1a + a2 + -1a2

Combine like terms: a + -1a = 0
-128 + -1a + -1a2 = 0 + a2 + -1a2
-128 + -1a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-128 + -1a + -1a2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(128 + a + a2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(128 + a + a2)' equal to zero and attempt to solve:

Simplifying
128 + a + a2 = 0

Solving
128 + a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-128' to each side of the equation.
128 + a + -128 + a2 = 0 + -128

Reorder the terms:
128 + -128 + a + a2 = 0 + -128

Combine like terms: 128 + -128 = 0
0 + a + a2 = 0 + -128
a + a2 = 0 + -128

Combine like terms: 0 + -128 = -128
a + a2 = -128

The a term is a.  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 = -128 + 0.25

Reorder the terms:
0.25 + a + a2 = -128 + 0.25

Combine like terms: -128 + 0.25 = -127.75
0.25 + a + a2 = -127.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -127.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.