-3+1a+5a^2+a+4+a+3=

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Solution for -3+1a+5a^2+a+4+a+3= equation:


Simplifying
-3 + 1a + 5a2 + a + 4 + a + 3 = 0

Reorder the terms:
-3 + 4 + 3 + 1a + a + a + 5a2 = 0

Combine like terms: -3 + 4 = 1
1 + 3 + 1a + a + a + 5a2 = 0

Combine like terms: 1 + 3 = 4
4 + 1a + a + a + 5a2 = 0

Combine like terms: 1a + a = 2a
4 + 2a + a + 5a2 = 0

Combine like terms: 2a + a = 3a
4 + 3a + 5a2 = 0

Solving
4 + 3a + 5a2 = 0

Solving for variable 'a'.

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

Divide each side by '5'.
0.8 + 0.6a + a2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + 0.6a + -0.8 + a2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + 0.6a + a2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.6a + a2 = 0 + -0.8
0.6a + a2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
0.6a + a2 = -0.8

The a term is 0.6a.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6a + 0.09 + a2 = -0.8 + 0.09

Reorder the terms:
0.09 + 0.6a + a2 = -0.8 + 0.09

Combine like terms: -0.8 + 0.09 = -0.71
0.09 + 0.6a + a2 = -0.71

Factor a perfect square on the left side:
(a + 0.3)(a + 0.3) = -0.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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