Question

Solve by factoring.

g^2+4g-32=0

Answer 1

First, factor:

g² + 4g - 32 = 0
(g +8) (g-4) = 0
g = -8, 4

Hope this helps!

Answer 2

Answer: The solution is g = 4, -8.

Step-by-step explanation: We are given to solve the following algebraic equation.

`g^2+4g-32=0.`

Since the above algebraic equation is quadratic, so it will have two solutions.

The solution by the method of factorization is as follows:

`g^2+4g-32=0\\\\\Rightarrow g^2+8g-4g-32=0\\\\\Rightarrow g(g+8)-4(g+8)=0\\\\\Rightarrow (g-4)(g+8)=0\\\\\Rightarrow g-4=0,~~~g+8=0\\\\\Rightarrow g=4, -8.`

Thus, the required solution is g = 4, -8.