3x(x-2)=2-11x

Simple and best practice solution for 3x(x-2)=2-11x 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-2)=2-11x equation: 


Simplifying
3x(x + -2) = 2 + -11x

Reorder the terms:
3x(-2 + x) = 2 + -11x
(-2 * 3x + x * 3x) = 2 + -11x
(-6x + 3x2) = 2 + -11x

Solving
-6x + 3x2 = 2 + -11x

Solving for variable 'x'.

Reorder the terms:
-2 + -6x + 11x + 3x2 = 2 + -11x + -2 + 11x

Combine like terms: -6x + 11x = 5x
-2 + 5x + 3x2 = 2 + -11x + -2 + 11x

Reorder the terms:
-2 + 5x + 3x2 = 2 + -2 + -11x + 11x

Combine like terms: 2 + -2 = 0
-2 + 5x + 3x2 = 0 + -11x + 11x
-2 + 5x + 3x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-2 + 5x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-2, 0.3333333333}

See similar equations:

| 8(z+4)-2(z-4)=2(z-1)+3(z-4) | | 6[2-(5+6x)]-4x=-20+2(1-20x) | | 10x^2+10x-430=00 | | 3/10-3/4= | | -7=2.6+8.6 | | -x-49=12x+116 | | 18a^2-21a-4=0 | | -6(n+2)+1=13-(n+4) | | 8=4.1n-24.8 | | -6y-5=-5y-7 | | =5(y-2)-3y | | 6r++7=13+7r | | -2(-3+2x)+5(-2-2x)=80 | | 50(x+10)+(x+20)=180 | | c(x)=x^2-11+68 | | 18+17=-5(2x-7) | | 1122+93.5+93.5=x | | 15x+27(x-3)=255 | | 2x-5(x-3)=2(x-5) | | 3(4y-7)=63 | | -17=2x+13-8x | | 4+2.3y=-5.2 | | -(3b-15)=6(2BE+5) | | 15x-7=45x+17 | | 8v-5q=3 | | 7*(19-3*3)= | | -[6z-(15z+6)]=6+(8z+9) | | g(a)ifg(t)=2t-t | | 4x^2-x+4= | | 7(2b+2)-3(2-2b)=-72 | | 5x-8=50x+19 | | 8-3a= |

Equations solver categories