5x^2-17x-40=0

Simple and best practice solution for 5x^2-17x-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 5x^2-17x-40=0 equation: 


Simplifying
5x2 + -17x + -40 = 0

Reorder the terms:
-40 + -17x + 5x2 = 0

Solving
-40 + -17x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 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 + -5x = 0 + 8

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

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

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1.6, 5}

See similar equations:

| 8y-13y=-15-20 | | 2(5c-1)-1=8c+3 | | 2t-1=3(t+2) | | 4(x-2)-(2x+1)+5(3x-2)=3(4x+2)-(x-1)+4x-2 | | 4+-1=5(t+2) | | 4x^3-20x^2-24x= | | 8y+8=14y+8 | | 1.6x-3=-8.4x-12 | | -12x=24 | | 120993x+33322=2222-333 | | (x-6)2=16 | | 18a^2-3a-10= | | z^2-2z-12=0 | | t^2+4t+1= | | 10t^2-t-9=0 | | 5x+1.4=6.9 | | -2(1-3x)=5(1-x)-3x | | -4.2=4.8-3y | | 3(n+2)=5(n-10) | | -2=-14-5x | | 4+4n=12 | | x^2-10x+32=0 | | 3(x-1)-6=0 | | -w+(-0.2)=1.2-0.3w | | 42-12=5(x-1) | | 72+5y-31=16y-13-2y | | 2(x-1)=6(x+1) | | 5m+6m-2m=6 | | w^2-6w+9= | | 18-6x=7+5x | | 7x-8=6x+3 | | 7x+14-6x=-8-13 |

Equations solver categories