(5a^2-a+9)+(a^2+a-13)=

Solution for (5a^2-a+9)+(a^2+a-13)= equation:

Simplifying
(5a2 + -1a + 9) + (a2 + a + -13) = 0

Reorder the terms:
(9 + -1a + 5a2) + (a2 + a + -13) = 0

Remove parenthesis around (9 + -1a + 5a2)
9 + -1a + 5a2 + (a2 + a + -13) = 0

Reorder the terms:
9 + -1a + 5a2 + (-13 + a + a2) = 0

Remove parenthesis around (-13 + a + a2)
9 + -1a + 5a2 + -13 + a + a2 = 0

Reorder the terms:
9 + -13 + -1a + a + 5a2 + a2 = 0

Combine like terms: 9 + -13 = -4
-4 + -1a + a + 5a2 + a2 = 0

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

Combine like terms: 5a2 + a2 = 6a2
-4 + 6a2 = 0

Solving
-4 + 6a2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 6a2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6a2 = 0 + 4
6a2 = 0 + 4

Combine like terms: 0 + 4 = 4
6a2 = 4

Divide each side by '6'.
a2 = 0.6666666667

Simplifying
a2 = 0.6666666667

Take the square root of each side:
a = {-0.816496581, 0.816496581}