(2x-1)*(2x-1)=4

Simple and best practice solution for (2x-1)*(2x-1)=4 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)=4 equation: 


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

Reorder the terms:
(-1 + 2x)(2x + -1) = 4

Reorder the terms:
(-1 + 2x)(-1 + 2x) = 4

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

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

Solving
1 + -4x + 4x2 = 4

Solving for variable 'x'.

Reorder the terms:
1 + -4 + -4x + 4x2 = 4 + -4

Combine like terms: 1 + -4 = -3
-3 + -4x + 4x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-3 + -4x + 4x2 = 0

Factor a trinomial.
(-1 + -2x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.5, 1.5}

See similar equations:

| 3a^3+12a^2-63a=0 | | 4-3v=4(1-2v) | | 1.50/1.25= | | Y^-1/5=2 | | Y^-1/2=2 | | 7w-3(4w-8)=11 | | 4C=3D | | 3x+41-5=180 | | 19+c=-4y-6 | | 8=3x+2(1-x) | | 5t+3t=8 | | 5(3x^2-2x)=3x-2 | | 8x-2x=14 | | 100gm-100mg= | | 2x^2j=1 | | (2x-3)+(x+4)+2=(4+2x)-(9-3x)-5 | | 7x+8=5x-9 | | N^2-n-100=100 | | 3x^2-18x=6x+5 | | (5y+8)(1-y)=0 | | 0.132+0.6x=x | | 4y-6=34-y | | 16=8(5h-3) | | 5x^2-9x+56=0 | | 0+0=k | | 0+y=k | | (W+7)(w-1)= | | x^3+6x-3=0 | | n^2-18n+81= | | -4z=-20 | | 3[(x-11)]+(-7)=73 | | 4/27 |

Equations solver categories