(5g+2g)+(2g^2+6)=

Solution for (5g+2g)+(2g^2+6)= equation:

Simplifying
(5g + 2g) + (2g2 + 6) = 0

Combine like terms: 5g + 2g = 7g
(7g) + (2g2 + 6) = 0
(7g) + (2g2 + 6) = 0

Reorder the terms:
(7g) + (6 + 2g2) = 0

Remove parenthesis around (6 + 2g2)
(7g) + 6 + 2g2 = 0

Reorder the terms:
6 + (7g) + 2g2 = 0

Solving
6 + (7g) + 2g2 = 0

Solving for variable 'g'.

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

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

Simplifying
2 + g = 0

Solving
2 + g = 0

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

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

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

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

Simplifying
g = -2
Subproblem 2
Set the factor '(3 + 2g)' equal to zero and attempt to solve:

Simplifying
3 + 2g = 0

Solving
3 + 2g = 0

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

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

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

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

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

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