(g+4)(g-3)=0

Solution for (g+4)(g-3)=0 equation:

Simplifying
(g + 4)(g + -3) = 0

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

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

Multiply (4 + g) * (-3 + g)
(4(-3 + g) + g(-3 + g)) = 0
((-3 * 4 + g * 4) + g(-3 + g)) = 0
((-12 + 4g) + g(-3 + g)) = 0
(-12 + 4g + (-3 * g + g * g)) = 0
(-12 + 4g + (-3g + g2)) = 0

Combine like terms: 4g + -3g = 1g
(-12 + 1g + g2) = 0

Solving
-12 + 1g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-4 + -1g)(3 + -1g) = 0

Subproblem 1
Set the factor '(-4 + -1g)' equal to zero and attempt to solve:

Simplifying
-4 + -1g = 0

Solving
-4 + -1g = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1g = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1g = 0 + 4
-1g = 0 + 4

Combine like terms: 0 + 4 = 4
-1g = 4

Divide each side by '-1'.
g = -4

Simplifying
g = -4
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 = {-4, 3}