6x^2+17x=-7

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


Simplifying
6x2 + 17x = -7

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

Solving
17x + 6x2 = -7

Solving for variable 'x'.

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

Combine like terms: -7 + 7 = 0
7 + 17x + 6x2 = 0

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:

| 9.0y-26.3=4.5y+9.7 | | 2/3+x=2.16 | | 2x+12=3x+12 | | 3x+12=2x+12 | | x-12=4/x | | x-12=x/12 | | a-17=9 | | (m-3)=26 | | w/5+8=2 | | 40p-44=9 | | a/7+1=9 | | C^3-2c^2-35c=0 | | 31/5*15/6 | | 0.5r=5 | | T(9t+18)=891 | | 50+10t=t^2 | | f/5-9=-7 | | 8x+6/5=11 | | -3x^2=21x | | 6+x/3=13 | | -3+b/7=-6 | | 72x^5+36x^4-260x^3=0 | | 1+s/5=8 | | m/2+8=5 | | (X-7)(x-9)=0 | | y/6-7=2 | | 24t+24=1.5t^2 | | 24-9p=63p | | 2t^3+9t^2+10t=0 | | 5x-8y=-17 | | 4y^2+y^3-60=300 | | 10d=-8 |

Equations solver categories