3x(x-1)=(2x-8)(x-1)

Simple and best practice solution for 3x(x-1)=(2x-8)(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 3x(x-1)=(2x-8)(x-1) equation: 


Simplifying
3x(x + -1) = (2x + -8)(x + -1)

Reorder the terms:
3x(-1 + x) = (2x + -8)(x + -1)
(-1 * 3x + x * 3x) = (2x + -8)(x + -1)
(-3x + 3x2) = (2x + -8)(x + -1)

Reorder the terms:
-3x + 3x2 = (-8 + 2x)(x + -1)

Reorder the terms:
-3x + 3x2 = (-8 + 2x)(-1 + x)

Multiply (-8 + 2x) * (-1 + x)
-3x + 3x2 = (-8(-1 + x) + 2x * (-1 + x))
-3x + 3x2 = ((-1 * -8 + x * -8) + 2x * (-1 + x))
-3x + 3x2 = ((8 + -8x) + 2x * (-1 + x))
-3x + 3x2 = (8 + -8x + (-1 * 2x + x * 2x))
-3x + 3x2 = (8 + -8x + (-2x + 2x2))

Combine like terms: -8x + -2x = -10x
-3x + 3x2 = (8 + -10x + 2x2)

Solving
-3x + 3x2 = 8 + -10x + 2x2

Solving for variable 'x'.

Reorder the terms:
-8 + -3x + 10x + 3x2 + -2x2 = 8 + -10x + 2x2 + -8 + 10x + -2x2

Combine like terms: -3x + 10x = 7x
-8 + 7x + 3x2 + -2x2 = 8 + -10x + 2x2 + -8 + 10x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-8 + 7x + 1x2 = 8 + -10x + 2x2 + -8 + 10x + -2x2

Reorder the terms:
-8 + 7x + 1x2 = 8 + -8 + -10x + 10x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
-8 + 7x + 1x2 = 0 + -10x + 10x + 2x2 + -2x2
-8 + 7x + 1x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
-8 + 7x + 1x2 = 0 + 2x2 + -2x2
-8 + 7x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8 + 7x + 1x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, 1}

See similar equations:

| 24=3x^2 | | 77/360=92/n | | 62-4x=6-10x | | 77/6=92/n | | 6(d-4)+9=3 | | -3x^2+18x-15=0 | | 5x+3y=-13 | | (3x^2)-6x-24=0 | | 9=3c/4 | | 6/77=92/n | | 6/77=n/92 | | (-3/11)p=-8 | | x^2y+5y-6x^2-30=0 | | 22/4=88/t | | 5x-5=45x+19 | | 1500=461.87+299.4ln(x) | | 5(i-9)=25 | | 17/2=68/x | | (6x^2)-2x+3=0 | | 7.3y+-5.18=-51.9 | | (7/9y)-9=-2 | | 12/72=n/24 | | 3(120+n)=210 | | 7y-0.3=8y | | x+y=3z | | z-18/8=-3 | | 22/24=99/n | | 9(x-8)=1+10x | | 6-f/-19=21 | | 9m^2+12m+4=0 | | 9(5x-8)-4(11x-16)=2 | | 16+k/-17=-15 |

Equations solver categories