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

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


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

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

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

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

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

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

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

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

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

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

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

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

Solving
2 + -3x = -3 + -2x

Solving for variable 'x'.

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

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

Combine like terms: -3x + 2x = -1x
2 + -1x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + -1x = -3 + 0
2 + -1x = -3

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

Combine like terms: 2 + -2 = 0
0 + -1x = -3 + -2
-1x = -3 + -2

Combine like terms: -3 + -2 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

See similar equations:

| r^2-44r-35=0 | | 7x-52=4x-7 | | y=2x^3-3x^2-12x-1 | | (7+2)=2(t+1)+2 | | 2(4-x)=-3x+5 | | 6+8(x-8)=8-8(x-8) | | z^2-2z+1+2i=0 | | 0=5X^2+4X+20 | | f(x)=5X^2+4X+20 | | 3+4(x-2)=9-8(x-3) | | 42r=4 | | X^5+4X^4-4X^3-16X^2=0 | | 3x+1=3x^2-12x-15 | | -2(5n+6)=2 | | 18x^3a+30xa^2=6xa | | 4*(x-3)=2x+4 | | -(3n+1)=5 | | 4x(x-6)=-44 | | y^2-x^2-2x-17=0 | | 16x^2+28x+10=0 | | 4(x+6)-7=23-4x-6+8x | | 2g+4h+5g+7h= | | -6+6(x-3)=13x+3-7x | | 8x-9=6x+39 | | 3=65x-20xy+4y | | Logx^256=8 | | -16x^2+4x+30= | | x-3(x-2)-6(x-2)= | | 2ax^2+2ax+2a=0 | | 7x+4y=29 | | 9+2+x=8+3 | | 73-6x=12x+21 |

Equations solver categories