6x^2+17x+7=0

Simple and best practice solution for 6x^2+17x+7=0 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 6x^2+17x+7=0 equation: 


Simplifying
6x2 + 17x + 7 = 0

Reorder the terms:
7 + 17x + 6x2 = 0

Solving
7 + 17x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(1 + 2x) = 0


Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-2.333333333, -0.5}

See similar equations:

| 6a+2(a+2)=13-(2a-5) | | 12+3c=2c-2 | | b+1=3 | | 66.5+(13.75*85.91)+(5.003*172.72)-(4.676*59)= | | 4z-10z=5+2z | | 2n^2+4n=0 | | 4x+6y+5x+6y=180 | | 3(t-14)-5(t+12)=0 | | 5x+10y=-20 | | 150x-450+300x-375=400x-300 | | 3(w+7)-5w=w+12 | | 7x^2=-18x-8 | | 2m-3=-11 | | 3x^2=-10x-3 | | -5u+6+u+4u=0 | | 4y=6x+10 | | 56(12-x)+2=16 | | 3x+1-4x+4= | | x^6+2=0 | | 3x^2+6=0 | | -3x+8=6-(10x+2) | | -2x+5=11 | | -5u+6+u+4=0 | | -16x^2-12x+18= | | 10b^2+31b-14=0 | | -5x=-100 | | r^2-3r-40=0 | | 830=119x-237655 | | 6b^2+25b-9=0 | | w^2-6w-40=0 | | 2(x+4)=49 | | 3y+-6x+9=0 |

Equations solver categories