6x^2+31x+40=0

Simple and best practice solution for 6x^2+31x+40=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+31x+40=0 equation: 


Simplifying
6x2 + 31x + 40 = 0

Reorder the terms:
40 + 31x + 6x2 = 0

Solving
40 + 31x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 3x)(5 + 2x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

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

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

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-2.666666667, -2.5}

See similar equations:

| x^2-10x=-16 | | 4e*e-e*e*e= | | 15m^2-7mn-2n^2=0 | | e*e(4-e)= | | n^2-4n=5 | | 3=2(m-3) | | 100=80t-16t^2 | | 3.2x^2+4.4x+1.5=0 | | 4z-2z=-5z-5-6z | | 4t=-10t-28 | | x^2=-8x-2 | | e*e(2a+7)-4a= | | 2m^2-m=1 | | 6x+18=120-45x | | -z-6z=z-7+8z | | 6x+18=45+45x+15 | | k^2+4k=-3 | | 3=2x+4 | | 6x+18=45-45x+15 | | 4p(p+2)= | | a^2+5a=-6 | | 6(2z-1)-3(z+8)=2(z+1) | | 5x+7=4(x+4)-4 | | a^2+8a=20 | | 2(X+3)=3(7X-5) | | a^2-36=0 | | 2(y-4)-7y=37 | | 2x+2x=32 | | 0.3-0.06= | | 5y-6= | | 10(x-5)-8=21x-146 | | (5x-2)(3x+4)=-12 |

Equations solver categories