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

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


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

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

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

Multiply (-2 + x) * (-3 + 2x)
(-2(-3 + 2x) + x(-3 + 2x)) = (x + -2)(x + 1)
((-3 * -2 + 2x * -2) + x(-3 + 2x)) = (x + -2)(x + 1)
((6 + -4x) + x(-3 + 2x)) = (x + -2)(x + 1)
(6 + -4x + (-3 * x + 2x * x)) = (x + -2)(x + 1)
(6 + -4x + (-3x + 2x2)) = (x + -2)(x + 1)

Combine like terms: -4x + -3x = -7x
(6 + -7x + 2x2) = (x + -2)(x + 1)

Reorder the terms:
6 + -7x + 2x2 = (-2 + x)(x + 1)

Reorder the terms:
6 + -7x + 2x2 = (-2 + x)(1 + x)

Multiply (-2 + x) * (1 + x)
6 + -7x + 2x2 = (-2(1 + x) + x(1 + x))
6 + -7x + 2x2 = ((1 * -2 + x * -2) + x(1 + x))
6 + -7x + 2x2 = ((-2 + -2x) + x(1 + x))
6 + -7x + 2x2 = (-2 + -2x + (1 * x + x * x))
6 + -7x + 2x2 = (-2 + -2x + (1x + x2))

Combine like terms: -2x + 1x = -1x
6 + -7x + 2x2 = (-2 + -1x + x2)

Solving
6 + -7x + 2x2 = -2 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
6 + 2 + -7x + x + 2x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: 6 + 2 = 8
8 + -7x + x + 2x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: -7x + x = -6x
8 + -6x + 2x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
8 + -6x + 1x2 = -2 + -1x + x2 + 2 + x + -1x2

Reorder the terms:
8 + -6x + 1x2 = -2 + 2 + -1x + x + x2 + -1x2

Combine like terms: -2 + 2 = 0
8 + -6x + 1x2 = 0 + -1x + x + x2 + -1x2
8 + -6x + 1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
8 + -6x + 1x2 = 0 + x2 + -1x2
8 + -6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -6x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2, 4}

See similar equations:

| 1x=6y | | 50=3v-10 | | 8n^2-14n+3= | | (20+p)+(2p-23)+p=694 | | 7x+6(2-x)+8=11+3(6+x) | | 5x+28=13x+2 | | 5x-4x-1=8 | | -2(3s-3)-6=-3(8s+1)-4 | | 0.6=1.8 | | 9x-11=5x+16 | | u^2+16u-7=0 | | 6x+2+2=10 | | (x+4)2=49 | | 5x-4=35x+14 | | 5x+28=3x+2 | | 15x-25=500 | | 14x+2=5x-1 | | 4x+3=8x-15 | | 4(x+5)-2x=12 | | -2(4s-6)-12=-2(7s+1)-3 | | 15x-x=45 | | 7x-13=x+29 | | 36+17=36+14+w | | -6.5t-15=-9.7t+43.8 | | 7(2a-4)=2(a+4) | | 2x(3x-4)+5=3x(x-4) | | 5x^2+15x-2x-6= | | |-9n|+7=70 | | 3m+9-3m+7= | | 3q-7=-10 | | x^2*36=(2+x)(2+x) | | 22n=110 |

Equations solver categories