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

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


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

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

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

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

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

Reorder the terms:
-2 + -1x + x2 = 2(-2 + x)
-2 + -1x + x2 = (-2 * 2 + x * 2)
-2 + -1x + x2 = (-4 + 2x)

Solving
-2 + -1x + x2 = -4 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

Factor a trinomial.
(1 + -1x)(2 + -1x) = 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 '(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
Solution
x = {1, 2}

See similar equations:

| 4(r-1)=31-r | | 4(x+2)+x+1=2x-3 | | 1r+2-4-2r= | | (x^2-x)-8(x^2-x)+12=0 | | 15/4=1/4 | | (4-0.01X)=-3 | | -(-4x-4)=10+5x | | 2x+3x-15=27 | | f^2=4f-3 | | 4(4x+1)=-3(2x-2)-5x | | 15/4=18 | | -3x+1=-3x+3-2 | | 5x-2x+5=11 | | 2x^2-bx+9=0 | | 34x+13y+12y= | | -65=-13n | | (6g-9)+(5-3g)= | | 5(m+2)=7(m-1) | | 2(1-7x)+3x=7-(x-5) | | -23+5p=-6p+7(4p+4) | | -3-2u=3 | | -90-8x=-15x+8 | | Ln^4x= | | 4x+23=2x+11 | | 10r+4=59-r | | y=-5x^2-20x-15 | | -12x-13x= | | y(3y-1)=0 | | 14=2x-8+4x | | 5(x+3)(x+5y)= | | 3(2x-8)+2=5 | | .15X=875 |

Equations solver categories