2g^2-7g-15=0

Solution for 2g^2-7g-15=0 equation:

Simplifying
2g2 + -7g + -15 = 0

Reorder the terms:
-15 + -7g + 2g2 = 0

Solving
-15 + -7g + 2g2 = 0

Solving for variable 'g'.

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

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

Simplifying
-3 + -2g = 0

Solving
-3 + -2g = 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 + -2g = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2g = 0 + 3
-2g = 0 + 3

Combine like terms: 0 + 3 = 3
-2g = 3

Divide each side by '-2'.
g = -1.5

Simplifying
g = -1.5
Subproblem 2
Set the factor '(5 + -1g)' equal to zero and attempt to solve:

Simplifying
5 + -1g = 0

Solving
5 + -1g = 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 + -1g = 0 + -5

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

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

Divide each side by '-1'.
g = 5

Simplifying
g = 5
Solution
g = {-1.5, 5}