6=a^2(2)+a

Solution for 6=a^2(2)+a equation:

Simplifying
6 = a2(2) + a

Reorder the terms for easier multiplication:
6 = 2a2 + a

Reorder the terms:
6 = a + 2a2

Solving
6 = a + 2a2

Solving for variable 'a'.

Reorder the terms:
6 + -1a + -2a2 = a + -1a + 2a2 + -2a2

Combine like terms: a + -1a = 0
6 + -1a + -2a2 = 0 + 2a2 + -2a2
6 + -1a + -2a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
6 + -1a + -2a2 = 0

Factor a trinomial.
(3 + -2a)(2 + a) = 0

Subproblem 1
Set the factor '(3 + -2a)' equal to zero and attempt to solve:

Simplifying
3 + -2a = 0

Solving
3 + -2a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2a = 0 + -3
-2a = 0 + -3

Combine like terms: 0 + -3 = -3
-2a = -3

Divide each side by '-2'.
a = 1.5

Simplifying
a = 1.5
Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

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

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

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

Simplifying
a = -2
Solution
a = {1.5, -2}