-g^2+7g=6

Solution for -g^2+7g=6 equation:

Simplifying
-1g2 + 7g = 6

Reorder the terms:
7g + -1g2 = 6

Solving
7g + -1g2 = 6

Solving for variable 'g'.

Reorder the terms:
-6 + 7g + -1g2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 7g + -1g2 = 0

Factor a trinomial.
(-6 + g)(1 + -1g) = 0

Subproblem 1
Set the factor '(-6 + g)' equal to zero and attempt to solve:

Simplifying
-6 + g = 0

Solving
-6 + g = 0

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

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

Combine like terms: -6 + 6 = 0
0 + g = 0 + 6
g = 0 + 6

Combine like terms: 0 + 6 = 6
g = 6

Simplifying
g = 6
Subproblem 2
Set the factor '(1 + -1g)' equal to zero and attempt to solve:

Simplifying
1 + -1g = 0

Solving
1 + -1g = 0

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

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

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

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

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

Simplifying
g = 1
Solution
g = {6, 1}