Question

What are the solutions to the equation?

Answer 1

The equation is very easy to solve since there is a quadratic formula that we can apply in the problem.
With the given equation 5w2+10w=40, we can arrange the problem into 5w2+10w-40=0.
a=5, b=10, c=-40
By applying quadratic formula, the answers are 2 and -4. 

Answer 2

Solution:

$5 w^2+10 w=40\\\\ 5(w^2+2 w)=8 \times 5 \\\\ w^2+2 w=8\\\\ w^2 + 2 w -8=0\\\\ w^2+ 4 w - 2 w -8=0\\\\ w \times(w +4)-2 \times(w+4)=0\\\\ (w-2)(w+4)=0\\\\ w-2=0 {\text{and}} w+4=0 \\\\ w=2 {\text{and}w=-4$

So, the solution of the equation ,

 $5 w^2+10 w=40$

is , w=2 , -4.