(x-2)(X+3)=(x-1)(x+1)

Simple and best practice solution for (x-2)(X+3)=(x-1)(x+1) 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 (x-2)(X+3)=(x-1)(x+1) equation: 


Simplifying
(x + -2)(X + 3) = (x + -1)(x + 1)

Reorder the terms:
(-2 + x)(X + 3) = (x + -1)(x + 1)

Reorder the terms:
(-2 + x)(3 + X) = (x + -1)(x + 1)

Multiply (-2 + x) * (3 + X)
(-2(3 + X) + x(3 + X)) = (x + -1)(x + 1)
((3 * -2 + X * -2) + x(3 + X)) = (x + -1)(x + 1)
((-6 + -2X) + x(3 + X)) = (x + -1)(x + 1)
(-6 + -2X + (3 * x + X * x)) = (x + -1)(x + 1)
(-6 + -2X + (3x + xX)) = (x + -1)(x + 1)
(-6 + -2X + 3x + xX) = (x + -1)(x + 1)

Reorder the terms:
-6 + -2X + 3x + xX = (-1 + x)(x + 1)

Reorder the terms:
-6 + -2X + 3x + xX = (-1 + x)(1 + x)

Multiply (-1 + x) * (1 + x)
-6 + -2X + 3x + xX = (-1(1 + x) + x(1 + x))
-6 + -2X + 3x + xX = ((1 * -1 + x * -1) + x(1 + x))
-6 + -2X + 3x + xX = ((-1 + -1x) + x(1 + x))
-6 + -2X + 3x + xX = (-1 + -1x + (1 * x + x * x))
-6 + -2X + 3x + xX = (-1 + -1x + (1x + x2))

Combine like terms: -1x + 1x = 0
-6 + -2X + 3x + xX = (-1 + 0 + x2)
-6 + -2X + 3x + xX = (-1 + x2)

Solving
-6 + -2X + 3x + xX = -1 + x2

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + -2X + 3x + 6 + xX = -1 + 6 + x2

Reorder the terms:
-6 + 6 + -2X + 3x + xX = -1 + 6 + x2

Combine like terms: -6 + 6 = 0
0 + -2X + 3x + xX = -1 + 6 + x2
-2X + 3x + xX = -1 + 6 + x2

Combine like terms: -1 + 6 = 5
-2X + 3x + xX = 5 + x2

Add '-3x' to each side of the equation.
-2X + 3x + -3x + xX = 5 + -3x + x2

Combine like terms: 3x + -3x = 0
-2X + 0 + xX = 5 + -3x + x2
-2X + xX = 5 + -3x + x2

Reorder the terms:
-5 + -2X + 3x + xX + -1x2 = 5 + -3x + x2 + -5 + 3x + -1x2

Reorder the terms:
-5 + -2X + 3x + xX + -1x2 = 5 + -5 + -3x + 3x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + -2X + 3x + xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
-5 + -2X + 3x + xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-5 + -2X + 3x + xX + -1x2 = 0 + x2 + -1x2
-5 + -2X + 3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + -2X + 3x + xX + -1x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 9x+2=4(2x-1) | | 4x=6(-3) | | 3x+x+30+x+10=180 | | ln(x-6)-ln(x+4)= | | 4y^2+10y-32=0 | | 0.5(4x+1)=0.5(5x-1)+1.2 | | 24-D=0 | | 120=2x+7 | | 30-j=26 | | 2a^2-a+5a^2= | | =(3x-4y)-(x+3y)+(2x-y) | | 471-a=451 | | 7-3*(y-2)=19 | | 2/3-3/1 | | 10w=3900 | | (3y-1)(y+1)=0 | | 7-3x(y-2)=19 | | y-3=2/3(x-(-1)) | | 0.1953125= | | Y+r=3r | | 8x20/12 | | x=.07*2.45 | | Y+r= | | 4(x-1.5)=8 | | Y+c+r=s | | 24.25= | | w+3w-2+3w=-11+7(w+2) | | 2a+6a=70 | | 20a=20 | | 6(x-2)=6x-2 | | 7a+1=4n-9 | | sin(2x)=0.56 |

Equations solver categories