-g^2+7g+44=

Solution for -g^2+7g+44= equation:

Simplifying
-1g2 + 7g + 44 = 0

Reorder the terms:
44 + 7g + -1g2 = 0

Solving
44 + 7g + -1g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(11 + -1g)(4 + g) = 0

Subproblem 1
Set the factor '(11 + -1g)' equal to zero and attempt to solve:

Simplifying
11 + -1g = 0

Solving
11 + -1g = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1g = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1g = 0 + -11
-1g = 0 + -11

Combine like terms: 0 + -11 = -11
-1g = -11

Divide each side by '-1'.
g = 11

Simplifying
g = 11
Subproblem 2
Set the factor '(4 + g)' equal to zero and attempt to solve:

Simplifying
4 + g = 0

Solving
4 + g = 0

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

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

Combine like terms: 4 + -4 = 0
0 + g = 0 + -4
g = 0 + -4

Combine like terms: 0 + -4 = -4
g = -4

Simplifying
g = -4
Solution
g = {11, -4}