a+9=6+a*a+4

Solution for a+9=6+a*a+4 equation:

Simplifying
a + 9 = 6 + a * a + 4

Reorder the terms:
9 + a = 6 + a * a + 4

Multiply a * a
9 + a = 6 + a2 + 4

Reorder the terms:
9 + a = 6 + 4 + a2

Combine like terms: 6 + 4 = 10
9 + a = 10 + a2

Solving
9 + a = 10 + a2

Solving for variable 'a'.

Reorder the terms:
9 + -10 + a + -1a2 = 10 + a2 + -10 + -1a2

Combine like terms: 9 + -10 = -1
-1 + a + -1a2 = 10 + a2 + -10 + -1a2

Reorder the terms:
-1 + a + -1a2 = 10 + -10 + a2 + -1a2

Combine like terms: 10 + -10 = 0
-1 + a + -1a2 = 0 + a2 + -1a2
-1 + a + -1a2 = a2 + -1a2

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1 + -1a + a2 = 0

Move the constant term to the right:

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

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

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

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

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

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

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1a + a2 = -0.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.