-2.2=a^2+a

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Solution for -2.2=a^2+a equation:


Simplifying
-2.2 = a2 + a

Reorder the terms:
-2.2 = a + a2

Solving
-2.2 = a + a2

Solving for variable 'a'.

Reorder the terms:
-2.2 + -1a + -1a2 = a + -1a + a2 + -1a2

Combine like terms: a + -1a = 0
-2.2 + -1a + -1a2 = 0 + a2 + -1a2
-2.2 + -1a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-2.2 + -1a + -1a2 = 0

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

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

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + a + -2.2 + a2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + a + a2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + a + a2 = 0 + -2.2
a + a2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
a + a2 = -2.2

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.
 + 0.25 + a2 = -2.2 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + a2 = -2.2 + 0.25

Combine like terms: -2.2 + 0.25 = -1.95
1.25 + a2 = -1.95

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -1.95

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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