5a^2+10a-7a+a-4+13a^2-7a+8=

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Solution for 5a^2+10a-7a+a-4+13a^2-7a+8= equation: 


Simplifying
5a2 + 10a + -7a + a + -4 + 13a2 + -7a + 8 = 0

Reorder the terms:
-4 + 8 + 10a + -7a + a + -7a + 5a2 + 13a2 = 0

Combine like terms: -4 + 8 = 4
4 + 10a + -7a + a + -7a + 5a2 + 13a2 = 0

Combine like terms: 10a + -7a = 3a
4 + 3a + a + -7a + 5a2 + 13a2 = 0

Combine like terms: 3a + a = 4a
4 + 4a + -7a + 5a2 + 13a2 = 0

Combine like terms: 4a + -7a = -3a
4 + -3a + 5a2 + 13a2 = 0

Combine like terms: 5a2 + 13a2 = 18a2
4 + -3a + 18a2 = 0

Solving
4 + -3a + 18a2 = 0

Solving for variable 'a'.

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

Divide each side by '18'.
0.2222222222 + -0.1666666667a + a2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.1666666667a + -0.2222222222 + a2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.1666666667a + a2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.1666666667a + a2 = 0 + -0.2222222222
-0.1666666667a + a2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.1666666667a + a2 = -0.2222222222

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 = -0.2222222222 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667a + a2 = -0.2222222222 + 0.006944444447

Combine like terms: -0.2222222222 + 0.006944444447 = -0.215277777753
0.006944444447 + -0.1666666667a + a2 = -0.215277777753

Factor a perfect square on the left side:
(a + -0.08333333335)(a + -0.08333333335) = -0.215277777753

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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