-g^2+5g=6

Solution for -g^2+5g=6 equation:

Simplifying
-1g2 + 5g = 6

Reorder the terms:
5g + -1g2 = 6

Solving
5g + -1g2 = 6

Solving for variable 'g'.

Reorder the terms:
-6 + 5g + -1g2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 5g + -1g2 = 0

Factor a trinomial.
(-3 + g)(2 + -1g) = 0

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

Simplifying
-3 + g = 0

Solving
-3 + g = 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 + g = 0 + 3

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

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

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

Simplifying
2 + -1g = 0

Solving
2 + -1g = 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 + -1g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g = 0 + -2
-1g = 0 + -2

Combine like terms: 0 + -2 = -2
-1g = -2

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Solution
g = {3, 2}