3x^2+3x+6=1-5x

Simple and best practice solution for 3x^2+3x+6=1-5x 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+3x+6=1-5x equation: 


Simplifying
3x2 + 3x + 6 = 1 + -5x

Reorder the terms:
6 + 3x + 3x2 = 1 + -5x

Solving
6 + 3x + 3x2 = 1 + -5x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + 3x + 5x + 3x2 = 1 + -5x + -1 + 5x

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

Combine like terms: 3x + 5x = 8x
5 + 8x + 3x2 = 1 + -5x + -1 + 5x

Reorder the terms:
5 + 8x + 3x2 = 1 + -1 + -5x + 5x

Combine like terms: 1 + -1 = 0
5 + 8x + 3x2 = 0 + -5x + 5x
5 + 8x + 3x2 = -5x + 5x

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

Factor a trinomial.
(5 + 3x)(1 + x) = 0


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-1.666666667, -1}

See similar equations:

| 6-2x=4x+10 | | -3x-11=2x+19 | | 2x+23+6=x+19 | | 8a^2+9-18a=0 | | 2x^2+10x+c=0 | | (x)^1/30=0.08 | | -5-3x+2=10-4x | | 2x*3=23 | | Qd=5000-10(50) | | (x)^1/30=0.8 | | 6(x+2)-3(2x-3)=3 | | 14(9c-4)=5c-5 | | 4.1x-4.4=32.5 | | (x)^1/30=20 | | 9x-7-8x=-35 | | 13x+5-3x= | | x^1/30=0.08 | | 4x-(2x-3)(-1)=3 | | 23=5y+8 | | 8x^2+2p-15=0 | | 8x-9x=-27 | | 3/8-5-18= | | 4x^2=72-18x | | 8x+1=-72 | | 2x+10+3x-30=90 | | e^17x=5 | | .5x-8=.25X+4 | | 4x^3+3x^2+-90x=0 | | TanA=0.27 | | (1.05x)/100=1/20 | | 180=x+x+90 | | 4x^2+3x^2-90x=0 |

Equations solver categories