3x^2+6x-1=2-2x

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


Simplifying
3x2 + 6x + -1 = 2 + -2x

Reorder the terms:
-1 + 6x + 3x2 = 2 + -2x

Solving
-1 + 6x + 3x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
-1 + -2 + 6x + 2x + 3x2 = 2 + -2x + -2 + 2x

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

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

Reorder the terms:
-3 + 8x + 3x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
-3 + 8x + 3x2 = 0 + -2x + 2x
-3 + 8x + 3x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 8x + 3x2 = 0

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


Subproblem 1
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

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 = {-3, 0.3333333333}

See similar equations:

| .99d=.89+10d | | 118=-6(v-1)-8v | | 5n+15=3-6n | | 16x^4-22x^3+6x^2=0 | | .99d=.89+10 | | 4(2x+1)=8x-10+14 | | 2r-4=2[6-7r] | | x2=4/9 | | 8n-13=-12n+8 | | -4/7=-28 | | -2(r-.5)= | | 24-(x+6)=4x-2 | | -2-6m=-104 | | -10-2r=r+2 | | 15=2m-2 | | 4n-3=-10+3n | | 6t/7*1/21 | | 8/2=x/x-2 | | -3x=-3/2 | | 17d-2=42 | | 6p+6=5p | | 7-0.33v=6 | | 25x+3x=252 | | 2/5d-1=5 | | 7x+13x-4=5(4x+1) | | X+7/12=31 | | n-1=-1-8n | | -3+n/4.6=0.867 | | -[9x+(5x+7)]=3-(5x+6) | | 7y-6-3y+1=0 | | 6x-x-9x= | | n/-3+8=41 |

Equations solver categories