5g^2+7g-6=0

Solution for 5g^2+7g-6=0 equation:

Simplifying
5g2 + 7g + -6 = 0

Reorder the terms:
-6 + 7g + 5g2 = 0

Solving
-6 + 7g + 5g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-2 + -1g)(3 + -5g) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -5g)' equal to zero and attempt to solve:

Simplifying
3 + -5g = 0

Solving
3 + -5g = 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 + -5g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5g = 0 + -3
-5g = 0 + -3

Combine like terms: 0 + -3 = -3
-5g = -3

Divide each side by '-5'.
g = 0.6

Simplifying
g = 0.6
Solution
g = {-2, 0.6}