(3x-1)(x+2)=6

Simple and best practice solution for (3x-1)(x+2)=6 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)=6 equation: 


Simplifying
(3x + -1)(x + 2) = 6

Reorder the terms:
(-1 + 3x)(x + 2) = 6

Reorder the terms:
(-1 + 3x)(2 + x) = 6

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

Combine like terms: -1x + 6x = 5x
(-2 + 5x + 3x2) = 6

Solving
-2 + 5x + 3x2 = 6

Solving for variable 'x'.

Reorder the terms:
-2 + -6 + 5x + 3x2 = 6 + -6

Combine like terms: -2 + -6 = -8
-8 + 5x + 3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-8 + 5x + 3x2 = 0

Factor a trinomial.
(-8 + -3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 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 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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 = {-2.666666667, 1}

See similar equations:

| x+(x+60)+(x+20)+(x+40)+(x+20)=540 | | 18x^4+60x^3+48x^2= | | 10=9x-17 | | 2x+4(0.8)=2 | | 24n+4=460 | | 4x^2-31x+50=0 | | X^2+10x+34=25 | | x+150+3x+2x=360 | | -2(2-4y)+7y=9 | | 2+3-5=20 | | 5/9*45 | | 60+2x+x=180 | | 2x^2-24x+146=82 | | 14=-16t^2+25t+6 | | 20+2d+d+10+d=222 | | h=-16t^2+25t+6 | | 2(2r-3)+6=14 | | 3+b=4 | | 1.25x=35.00+0.75 | | 11/x=9.32 | | 4x-14=27 | | N^2+3=-4 | | s/2-25=230 | | 2a+b=100 | | 3m^2-7m-3=0 | | 2/x+7=16 | | 8a^2=-24 | | 11+3=7x | | x^2-y^2=2x+2y | | n^2+2P-2P=2h-2P | | -2x^2+7x+c=0 | | 8m^2+2m=7 |

Equations solver categories