(4x-1)(2x+1)=0?

(A)
The product of two nos./terms/expressions can not be zero unless one of them is zero
Here,as (4x-1)(2x+1)=0
therefore,
Either 4x-1=0 or 2x+1=0
If 4x-1=0,then 4x=1 or x=1/4
If 2x+1=0,then 2x= -1 or x= -1/2
x=1/4 or -1/2 ans

x = 1/4 , x = - 1/2

What are you trying to do?

If you want to expand the equation simply multiply each of the terms inside the parentheses by the others like so:

4x*2x + 4x*1 - 1*2x -1*1 =
8x^2 + 4x -1 = 0

If you want to find the roots, here's how. Since the equation is already seperated you can find the roots by setting each value in parentheses equal to 0.The whole equation is already equal to 0, so if either of the values in parentheses is equal to 0 then multiplying through makes the whole equation equal to 0:

4x - 1 = 0 => 4x = 1 => x = 1/4
2x + 1 = 0 => 2x = -1 => x = -1/2

You can test your answers by plugging them back into the equation:

for x = 1/4
4*(1/4) - 1 = 0
for x = -1/2
2*(-1/2) + 1 = 0

And when we put either of these into the original equation:

0*(2x+1) = 0
and
(4x-1)*0 = 0

Because any value multiplied by 0 is equal to 0.

4x² - 12x - 7 = 0 x² - 3x = 7/4 x² - 3/2x = 7/4 + (- 3/2)² x² - 3/2x = 7/4 + 9/4 (x - 3/2)² = sixteen/4 (x - 3/2)² = 4 x - 3/2 = 2 Values of x: x = 2 + 3/2, x = 4/2 + 3/2, x = 7/2 x = - 2 + 3/2, x = - 4/2 + 3/2, x = - a million/2 answer: x = 7/2, - a million/2 info (x = 7/2): 4(7/2)² - 12(7/2) = 7 4(40 9/4) - 40 two = 7 40 9 - 40 two = 7 7 = 7 info (x = - a million/2): 4(- a million/2)² - 12(- a million/2) = 7 4(a million/4) + 6 = 7 a million + 6 = 7 7 = 7

(4x - 1)(2x + 1)
=> 8x^2 + 4x -2x - 1 =0
=> 8x^2 + 2x - 1=0
=> 8x^+2x=1
=> 8x^2= - 2x
=> x = - 2x/4x
=> x= - 1/2

Is it enough, now you can do your homework :)

(4x-1)= 0
4x=1
x=1/4

(2x+1)=0
2x=-1
x= -1/2

What does "solution" mean for this equation? It's equal to zero when (4x-1)=0 or (2x+1)=0, cause (0)(2x+1)=0 and (4x-1)(0)=0. You should follow the the first answer after that :)

here,2 nos when multiplied give a zero
so either 1 or both of them are equal to zero
4x-1=0 or 2x+1=0
4x=1 or 2x=-1
x=1/4 or x= -1/2
these are the 2 solutions possible

(4x - 1)(2x + 1) = 0

4x - 1 = 0
4x = 1
x = 1/4 (0.25)

2x + 1 = 0
2x = -1
x = -1/2 (-0.5)

∴ x = 1/4 (0.25) , -1/2 (-0.5)

It's already done for you. The equation has two roots, as shown.
x = 1/4
x = -1/2