Question

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

Choose True or False for each statement about the equation.
It is equivalent to 15x – 3)(2x + 1) = 0. A
It is equivalent to (5x – 3)(2x + 1) = 0.
A
True
True
B
False
False
A solution of the equation is x =
A
True
True
B
False
A zero of the equation is 2.
A
True ®
True
B
False
False
please hurry

Answer 1

It is equivalent to 15x – 3)(2x + 1) = 0. False

It is equivalent to (5x – 3)(2x + 1) = 0 True

Either x=-1/2 or 5/3

Explanation:

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

It is equivalent to 15x – 3)(2x + 1) = 0. False

It is equivalent to (5x – 3)(2x + 1) = 0 True

When you take pull-out (2x+1), you will be left with (5x-3)

5x (2x + 1) - 3(2x + 1) = 0.

(2x+1)(5x-3)=0

Either 2x + 1 = 0

2x = -1

Divide both-side of the equation by 2

2x/2 = -1/2

x= -1/2

OR

5x-3 =0

5x = 3

Divide both-side of the equation by 5

5x/5 = 3/5

x = 5/3

Either x=-1/2 or 5/3