Question

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.). . A. x = 0 and x = 5/2. . B. x = 0 and x = 2/5. . C. x = 0 and x = 2. . D. x = 0 and x = 5

Answer 1

25 x² - 10 x = 0
5 x ( 5 x - 2 ) = 0
x = 0  and
5 x - 2 = 0
5 x = 2
x = 2: 5 
x = 2/5
Answer: B ) x = 0 and x = 2/5

Answer 2

Answer:

B. x = 0 and x = 2/5

Step-by-step explanation:

To get the value satisfying the equation, we will need to simplify the given equation 25x²-10x = 0 to have:

First we will factor out '5x' which a common factor to have;

5x(5x - 2) = 0

5x = 0 and 5x-2 = 0

From 5x = 0, x =0

From equation 5x-2=0, 5x= 0+2

5x = 2

Dividing both sides by 5 which is the coefficient of x we have;

5x/5 = 2/5

x = 2/5

The solutions will give;

x = 0 and x = 2/5