3x^3-12x^2+3x-12=-6(x+2)

Simple and best practice solution for 3x^3-12x^2+3x-12=-6(x+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^3-12x^2+3x-12=-6(x+2) equation: 


Simplifying
3x3 + -12x2 + 3x + -12 = -6(x + 2)

Reorder the terms:
-12 + 3x + -12x2 + 3x3 = -6(x + 2)

Reorder the terms:
-12 + 3x + -12x2 + 3x3 = -6(2 + x)
-12 + 3x + -12x2 + 3x3 = (2 * -6 + x * -6)
-12 + 3x + -12x2 + 3x3 = (-12 + -6x)

Add '12' to each side of the equation.
-12 + 3x + -12x2 + 12 + 3x3 = -12 + 12 + -6x

Reorder the terms:
-12 + 12 + 3x + -12x2 + 3x3 = -12 + 12 + -6x

Combine like terms: -12 + 12 = 0
0 + 3x + -12x2 + 3x3 = -12 + 12 + -6x
3x + -12x2 + 3x3 = -12 + 12 + -6x

Combine like terms: -12 + 12 = 0
3x + -12x2 + 3x3 = 0 + -6x
3x + -12x2 + 3x3 = -6x

Solving
3x + -12x2 + 3x3 = -6x

Solving for variable 'x'.

Reorder the terms:
3x + 6x + -12x2 + 3x3 = -6x + 6x

Combine like terms: 3x + 6x = 9x
9x + -12x2 + 3x3 = -6x + 6x

Combine like terms: -6x + 6x = 0
9x + -12x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(3 + -4x + x2) = 0

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

Ignore the factor 3.

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, 1, 3}

See similar equations:

| 3(6s+4)-14= | | 3x+5+x=180 | | =6+70*0.08 | | 18x+36=3x^2+4x | | 3m^2-19=173 | | 10(9x-9)=10(12x-12) | | Xy+1.5xy=10000 | | -y^2+4y+4=0 | | 15x+4+10x+1=180 | | x/3-2x/9=11 | | 2ln(x)-2ln(x+1)=0 | | 6(x+2)=6+2x+(x+4) | | 5+11(x-7)=-3(1+4x) | | 34=x+2-2x | | 3x+4+5x-8=180 | | 1+2+3+4+5+7=1X | | 34=x+2-x | | 5x-57+3x+5=360 | | 3-2x=-49 | | -24=-8w+6(w-2) | | sen(5x)=sen(3x) | | -25(x+5)=24y | | 10p+9-11-p=-4-8-6p+6 | | 3y/3=1-5y | | 6(2x+9)+2(4x-1)=112 | | 6-9x=12x-13 | | F-7.259=-11.3 | | K=4+2r | | 5(4-k)=-10r | | V+7.659=3.04 | | 0.499= | | 20=4.9t^2 |

Equations solver categories