(x-1)(x-2)-3(x-1)=0

Simple and best practice solution for (x-1)(x-2)-3(x-1)=0 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)-3(x-1)=0 equation: 


Simplifying
(x + -1)(x + -2) + -3(x + -1) = 0

Reorder the terms:
(-1 + x)(x + -2) + -3(x + -1) = 0

Reorder the terms:
(-1 + x)(-2 + x) + -3(x + -1) = 0

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x)) + -3(x + -1) = 0
((-2 * -1 + x * -1) + x(-2 + x)) + -3(x + -1) = 0
((2 + -1x) + x(-2 + x)) + -3(x + -1) = 0
(2 + -1x + (-2 * x + x * x)) + -3(x + -1) = 0
(2 + -1x + (-2x + x2)) + -3(x + -1) = 0

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

Reorder the terms:
2 + -3x + x2 + -3(-1 + x) = 0
2 + -3x + x2 + (-1 * -3 + x * -3) = 0
2 + -3x + x2 + (3 + -3x) = 0

Reorder the terms:
2 + 3 + -3x + -3x + x2 = 0

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

Combine like terms: -3x + -3x = -6x
5 + -6x + x2 = 0

Solving
5 + -6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

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

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

See similar equations:

| f(x+1)=4x-7 | | x(5x+2)=2x^2-2x+15 | | 3x^4+14x-3=0 | | X=-2(-3) | | 3(2-y)+4y=7 | | 4x+4-9x=3+2x | | 3x+5=5x-21 | | 2(x^2)=2704-110x+4(x^2)-110x | | 7w-9=4w+12 | | (7x-5)(-8x-3)=0 | | -13+n=-4-2n | | x+72+63+81+102=5(7) | | -2+x-2x=1 | | q+8=12 | | x+72+63+81+102=7(7) | | -6(9-w)=2(3w-7) | | 5x-13=5x-13 | | 4x+4(5x-5)=172 | | 2x+9=7x+11 | | 4(x+5)=3(1x-2)-2(1x+2) | | 4x^2+97x+520=0 | | 8(x-2)+3=3 | | 4x-(2x-8)=5(x-2)+3 | | 1+1+1+1+1+1+1+1+1+1+1+1=32 | | 6.25/g=2.5 | | 5m+6r=8 | | 2(x^2)=44 | | -8x+14=-3(4x-7) | | 8r-7=-2+7r | | 7+x^2=4x | | 5(x+5)+3=10 | | x+63.6=79 |

Equations solver categories