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

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


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

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

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

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

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

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

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

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

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

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

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

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

Solving
-2 + -1x = -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 + -1x + -2x = -3 + 2x + -2x

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

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

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

See similar equations:

| 6x+18=-38 | | X(x+1)(x-1)(x+2)-8=0 | | 16x=25+7-2 | | 2t^2+10t-48=0 | | 3y+3=x-11 | | g(z)=-z^3+z^2+6z-3 | | y=ln(8x+a) | | -5p-2(1-p)=-6p | | X^2+4x+4=3 | | 2(6+8b)=-4(6b+7) | | 1.25x=120 | | (-10i)(7i)+4= | | x^3+2x=47 | | 2(r+5)=2r-8 | | 2(r+5)=2r+10 | | y=3(x^2-16)+2 | | (9g-5)=(g-3) | | -29-8r=3(6r-2)+3 | | X-3+y+3x=0 | | 3(4-5x)=2(X+7)-1 | | (x+4)-5+x-5=48 | | 36x^3-58x-8=0 | | 8z+12=0 | | 6.5x=3.75x+50000 | | f+9=2 | | Cosx=.72 | | 10c-6=24 | | 3i^2-2i+8=0 | | 5x+2.7=12.8 | | 2x(4x-1)= | | s^2=a | | 12(5.833333333+-0.6666666667y)+8Y=70 |

Equations solver categories