3g^2+2g-5=0

Solution for 3g^2+2g-5=0 equation:

Simplifying
3g2 + 2g + -5 = 0

Reorder the terms:
-5 + 2g + 3g2 = 0

Solving
-5 + 2g + 3g2 = 0

Solving for variable 'g'.

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

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

Simplifying
-5 + -3g = 0

Solving
-5 + -3g = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3g = 0 + 5

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

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

Divide each side by '-3'.
g = -1.666666667

Simplifying
g = -1.666666667
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 = {-1.666666667, 1}