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

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


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

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

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

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

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

Add '-2' to each side of the equation.
2 + -7x + -2 + 3x2 = 2 + -2

Reorder the terms:
2 + -2 + -7x + 3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -7x + 3x2 = 2 + -2
-7x + 3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-7x + 3x2 = 0

Solving
-7x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 2.333333333}

See similar equations:

| 46+83+17z=180 | | 12y+24t= | | -x-63=-6x+17 | | (-4-5j)(3-2j)=-22-7j | | 61+4q+3q=180 | | 7+49x=21x+11 | | (-4-5j)(3-2j)= | | 36/21=12/w | | d/9,7 | | 10f+8= | | 5t-15=25 | | -17m+9=29-2m | | 2c/58 | | 4s-38=2 | | 6=-r/3 | | 0=1/3x-2 | | X+x+0.39+0.39+0.30=11.34 | | -9x-123=42+6x | | x+26=88 | | y^2-11+y^2=0 | | 5n/8=20 | | (x^2)-6x=-7.75 | | 9x+y=20 | | -92+8x=2x+40 | | 1+X^2+X^3+X^4+X^8=285 | | (3+4i)+(-6+2i)= | | p=-.5x^2+40x-740 | | 8-x/5=10 | | -46+8x=2x+56 | | m^3+8m+7=0 | | -75-8x=24+x | | 2x^2+6x=59 |

Equations solver categories