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

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


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

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

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

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

Combine like terms: -1x + -3x = -4x
(1 + -4x + 3x2) = 8

Solving
1 + -4x + 3x2 = 8

Solving for variable 'x'.

Reorder the terms:
1 + -8 + -4x + 3x2 = 8 + -8

Combine like terms: 1 + -8 = -7
-7 + -4x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-7 + -4x + 3x2 = 0

Factor a trinomial.
(-1 + -1x)(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-1, 2.333333333}

See similar equations:

| 2x+5x=6x-8 | | x-0.08x=19000 | | 5(3c-1)-2=10c+8 | | 3-(2x-5)= | | (7x^2)-13=0 | | 40x5/8 | | 5x-16=180 | | 0=.003x^2-.16x+40 | | X-(x-5)=4(3x-4) | | -2(x-1)=-4x-6 | | 2xy(8x-5y)= | | 11-(x+5)=4(3x-4) | | -12=-6+m | | 18-1(5m+8)=4+3m-18 | | x-0.08x=20000 | | 34=4(x+7)-7x | | 8(x+5)-8=37-4x-5+12x | | 1-2x+=4x-3 | | 1-3x+=4x-3 | | 1800+300(z-1)=3000 | | ln(3x)=6.4 | | 27x^3-27x=0 | | A-21=100 | | 5x-3/4=x-3/2 | | 11x+22=33 | | -4y+8=4(2y-2)-2(-6+8y) | | -3s--49s+48s--23=-71 | | 32/d-2=10 | | 9(x-11)-10=16x-144 | | 6x-7=42 | | .5(7x+2)=8-(4x+6) | | 33x1/3 |

Equations solver categories