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

Simple and best practice solution for (2x+1)(2x-1)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x+1)(2x-1)=0 equation:


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

Reorder the terms:
(1 + 2x)(2x + -1) = 0

Reorder the terms:
(1 + 2x)(-1 + 2x) = 0

Multiply (1 + 2x) * (-1 + 2x)
(1(-1 + 2x) + 2x * (-1 + 2x)) = 0
((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) = 0
((-1 + 2x) + 2x * (-1 + 2x)) = 0
(-1 + 2x + (-1 * 2x + 2x * 2x)) = 0
(-1 + 2x + (-2x + 4x2)) = 0

Combine like terms: 2x + -2x = 0
(-1 + 0 + 4x2) = 0
(-1 + 4x2) = 0

Solving
-1 + 4x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 4x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x2 = 0 + 1
4x2 = 0 + 1

Combine like terms: 0 + 1 = 1
4x2 = 1

Divide each side by '4'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}

See similar equations:

| 8x+25=-x^2-2x+100 | | 9n+8=n-10 | | 5/8+5/9+48=x | | (4x^2+3xy+3y^2+19y-4)=0 | | m-4+3m+5= | | 3(x-6)/4x=36 | | 4x+8=6x-4 | | 7x/5-6=4+3x-8/2 | | 1000*q=5.2316 | | 3x^2+17x+12=0 | | 4(5+x)=3(1+x) | | 9(3-r)= | | 3*(2w+1)-2*(w-2)=5 | | (c-6)1= | | 11log(x)=13 | | 4.5*t=40.05 | | 4+10p-1=9p+43-7p | | 1.2k+2.8=-0.5+7.4 | | 5.3x-15.4+3.7x=6.2+10x | | 5x+3y=84 | | (21-z)+(48-z)=168 | | x/2-x-3/4 | | 2/3x+4/9=-1/3x-3/9 | | r^2-15r=-8-10 | | 6(t-2)-67=142 | | 7/2-4/3 | | 3ab^2+2a+7=0 | | 2(6g+4)= | | -36=6[2-8n] | | -3x+3+4x=11-27 | | 2(8+2q)= | | 1.7x-3-1.2x=12.5 |

Equations solver categories