(g+2)(g-3)=

Solution for (g+2)(g-3)= equation:

Simplifying
(g + 2)(g + -3) = 0

Reorder the terms:
(2 + g)(g + -3) = 0

Reorder the terms:
(2 + g)(-3 + g) = 0

Multiply (2 + g) * (-3 + g)
(2(-3 + g) + g(-3 + g)) = 0
((-3 * 2 + g * 2) + g(-3 + g)) = 0
((-6 + 2g) + g(-3 + g)) = 0
(-6 + 2g + (-3 * g + g * g)) = 0
(-6 + 2g + (-3g + g2)) = 0

Combine like terms: 2g + -3g = -1g
(-6 + -1g + g2) = 0

Solving
-6 + -1g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-2 + -1g)(3 + -1g) = 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 + -1g)' equal to zero and attempt to solve:

Simplifying
3 + -1g = 0

Solving
3 + -1g = 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 + -1g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1g = 0 + -3
-1g = 0 + -3

Combine like terms: 0 + -3 = -3
-1g = -3

Divide each side by '-1'.
g = 3

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