a^2+9+(5a^2-a+25)=0

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Solution for a^2+9+(5a^2-a+25)=0 equation: 


Simplifying
a2 + 9 + (5a2 + -1a + 25) = 0

Reorder the terms:
a2 + 9 + (25 + -1a + 5a2) = 0

Remove parenthesis around (25 + -1a + 5a2)
a2 + 9 + 25 + -1a + 5a2 = 0

Reorder the terms:
9 + 25 + -1a + a2 + 5a2 = 0

Combine like terms: 9 + 25 = 34
34 + -1a + a2 + 5a2 = 0

Combine like terms: a2 + 5a2 = 6a2
34 + -1a + 6a2 = 0

Solving
34 + -1a + 6a2 = 0

Solving for variable 'a'.

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

Divide each side by '6'.
5.666666667 + -0.1666666667a + a2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + -0.1666666667a + -5.666666667 + a2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + -0.1666666667a + a2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + -0.1666666667a + a2 = 0 + -5.666666667
-0.1666666667a + a2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
-0.1666666667a + a2 = -5.666666667

The a term is -0.1666666667a.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667a + 0.006944444447 + a2 = -5.666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667a + a2 = -5.666666667 + 0.006944444447

Combine like terms: -5.666666667 + 0.006944444447 = -5.659722222553
0.006944444447 + -0.1666666667a + a2 = -5.659722222553

Factor a perfect square on the left side:
(a + -0.08333333335)(a + -0.08333333335) = -5.659722222553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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