13a^2+14a+15=9+7a+10a^2

Solution for 13a^2+14a+15=9+7a+10a^2 equation:

Simplifying
13a2 + 14a + 15 = 9 + 7a + 10a2

Reorder the terms:
15 + 14a + 13a2 = 9 + 7a + 10a2

Solving
15 + 14a + 13a2 = 9 + 7a + 10a2

Solving for variable 'a'.

Reorder the terms:
15 + -9 + 14a + -7a + 13a2 + -10a2 = 9 + 7a + 10a2 + -9 + -7a + -10a2

Combine like terms: 15 + -9 = 6
6 + 14a + -7a + 13a2 + -10a2 = 9 + 7a + 10a2 + -9 + -7a + -10a2

Combine like terms: 14a + -7a = 7a
6 + 7a + 13a2 + -10a2 = 9 + 7a + 10a2 + -9 + -7a + -10a2

Combine like terms: 13a2 + -10a2 = 3a2
6 + 7a + 3a2 = 9 + 7a + 10a2 + -9 + -7a + -10a2

Reorder the terms:
6 + 7a + 3a2 = 9 + -9 + 7a + -7a + 10a2 + -10a2

Combine like terms: 9 + -9 = 0
6 + 7a + 3a2 = 0 + 7a + -7a + 10a2 + -10a2
6 + 7a + 3a2 = 7a + -7a + 10a2 + -10a2

Combine like terms: 7a + -7a = 0
6 + 7a + 3a2 = 0 + 10a2 + -10a2
6 + 7a + 3a2 = 10a2 + -10a2

Combine like terms: 10a2 + -10a2 = 0
6 + 7a + 3a2 = 0

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

Divide each side by '3'.
2 + 2.333333333a + a2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2.333333333a + -2 + a2 = 0 + -2

Reorder the terms:
2 + -2 + 2.333333333a + a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2.333333333a + a2 = 0 + -2
2.333333333a + a2 = 0 + -2

Combine like terms: 0 + -2 = -2
2.333333333a + a2 = -2

The a term is 2.333333333a.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333a + 1.361111112 + a2 = -2 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333a + a2 = -2 + 1.361111112

Combine like terms: -2 + 1.361111112 = -0.638888888
1.361111112 + 2.333333333a + a2 = -0.638888888

Factor a perfect square on the left side:
(a + 1.166666667)(a + 1.166666667) = -0.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.