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

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


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

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

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

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

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

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

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

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

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

Solving
2 + -3x + x2 = -3 + 1x + 2x2

Solving for variable 'x'.

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

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

Combine like terms: -3x + -1x = -4x
5 + -4x + x2 + -2x2 = -3 + 1x + 2x2 + 3 + -1x + -2x2

Combine like terms: x2 + -2x2 = -1x2
5 + -4x + -1x2 = -3 + 1x + 2x2 + 3 + -1x + -2x2

Reorder the terms:
5 + -4x + -1x2 = -3 + 3 + 1x + -1x + 2x2 + -2x2

Combine like terms: -3 + 3 = 0
5 + -4x + -1x2 = 0 + 1x + -1x + 2x2 + -2x2
5 + -4x + -1x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
5 + -4x + -1x2 = 0 + 2x2 + -2x2
5 + -4x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -4x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(5 + x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

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

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

Simplifying
x = -5
Solution
x = {1, -5}

See similar equations:

| 3y^2-7y-4=0 | | 8z^2+6z+1=0 | | 3x^2+4x-7= | | 8+3u=-10 | | 5a^2b^2-6ab= | | 0=-16t^2+160t+176 | | 3m-m=0 | | -5t^2+4t+2=0 | | 30625=x^2 | | g^2+4=13 | | =12y^3-36y | | (X-24)=12 | | k^2-7=12 | | b^2-3b-28= | | 0.04(x)+0.10(18-x)=0.06(18) | | X+0.07= | | 12a+19b+6c+2c-2b-2a= | | 7(-4)=2x-3 | | x+0.07x= | | 0.04(x)+0.1(6)=0.06(x+6) | | b^2=-7 | | 2(8-X)=4(X-3) | | 14p+16q+p-6q-6p= | | 3Q^2-118.5Q+328.5=0 | | Y=49x^2+42x+9 | | 5X-3(X-3)=19 | | 8x^3+40x^2+8x+40= | | 15m+6n-5m+11n= | | 27=c(c-6) | | 3x^2+18x=2x^2-81 | | -3X^2+118.5q-328.5=0 | | 4x^2+6x=3x^2-9 |

Equations solver categories