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

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


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

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

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

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

Combine like terms: -1x + 2x = 1x
(-2 + 1x + x2) = (x + -2)(x + -3)

Reorder the terms:
-2 + 1x + x2 = (-2 + x)(x + -3)

Reorder the terms:
-2 + 1x + x2 = (-2 + x)(-3 + x)

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

Combine like terms: -2x + -3x = -5x
-2 + 1x + x2 = (6 + -5x + x2)

Add '-1x2' to each side of the equation.
-2 + 1x + x2 + -1x2 = 6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 1x + 0 = 6 + -5x + x2 + -1x2
-2 + 1x = 6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 1x = 6 + -5x + 0
-2 + 1x = 6 + -5x

Solving
-2 + 1x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 1x + 5x = 6 + -5x + 5x

Combine like terms: 1x + 5x = 6x
-2 + 6x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 6x = 6 + 0
-2 + 6x = 6

Add '2' to each side of the equation.
-2 + 2 + 6x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 6 + 2
6x = 6 + 2

Combine like terms: 6 + 2 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

See similar equations:

| 5(2x-z)= | | q+12q=y | | 9i/5-8i | | 2(x-4)-8=-1(x+5) | | 24a-8-10=-2(4-7a) | | 2x+42=2(3x+1)-4 | | 20=4(4x-4)+4 | | x-41=41 | | 4x+28=7x+46 | | a^3+a^4= | | 15x+7=14x-1 | | 4x-4x=16 | | C=200+9y | | 4y-3y-2-9=6y-12 | | x^4-41x^2+210x+200=0 | | 5/(y-3)=4/(y-2) | | 4y-3y-2-9 = 6y-12 | | (x-23)+(x+23)=134 | | x+(x+23)=134 | | 18x^2=10x | | 3x+5y=23y | | x^2+2.5x-9=0 | | 2+2+2-2=4 | | 9y^4-15y^3=0 | | -9/5*4/15 | | 8(2x+2)2=288 | | 2y+5x=2 | | 3y^2-6y+5y^2-4y= | | 2x(4w+9)-3y(4w+9)= | | 5s+3t=4 | | 3r^2+17r=-10 | | x^2+4x+4=2x^2+2x-20 |

Equations solver categories