a=4+a^2

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Solution for a=4+a^2 equation:


Simplifying
a = 4 + a2

Solving
a = 4 + a2

Solving for variable 'a'.

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

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

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

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

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

Divide each side by '-1'.
4 + -1a + a2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1a + -4 + a2 = 0 + -4

Reorder the terms:
4 + -4 + -1a + a2 = 0 + -4

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

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

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 = -4 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + -1a + a2 = -3.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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