Given 25x^2-10x+0 which values of x will satisfy the equation? (hint: factor the polynomial into two terms, and find the values of x that will make each term 0.)

X = 0 

25 x ^ 2 - 10 x = 0 

25 * 0 ^ 2 - 10 * 0 = 0 

25 * 0 - 10 * 0 = 0 

0 - 0 = 0 

0 = 0 

and 

25 x ^ 2 - 10 x = 0 Divide both sides by 5 x 

25 x ^ 2 / 5 x - 10 x / 5 x = 0 / 5 x 

5 * 5 * x * x / 5 x - 2 * 5 x / 5 x = 0 

5 x - 2 = 0 Add 2 to both sides 

5 x - 2 + 2 = 0 + 2 

5 x = 2 Divide both sides by 5 

5 x / 5 = 2 / 5 

x = 2 / 5 

x = 0 and x = 2 / 5