5x(x+1)=60

Simple and best practice solution for 5x(x+1)=60 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(x+1)=60 equation:



5x(x+1)=60
We move all terms to the left:
5x(x+1)-(60)=0
We multiply parentheses
5x^2+5x-60=0
a = 5; b = 5; c = -60;
Δ = b2-4ac
Δ = 52-4·5·(-60)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-35}{2*5}=\frac{-40}{10} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+35}{2*5}=\frac{30}{10} =3 $

See similar equations:

| -2+5y=-y+16 | | 6x+11 2=33 5 | | b+12=4 | | b+12=3 | | 8(x-5)=2(x+2) | | X/x+30=120 | | 3t-2=3t+4 | | b+12=2 | | 2x-10x+6=4 | | 22y-3=y+100 | | -4x+13=8-3x | | 2x-10x+6=4(x-6) | | 8a-7a-a+4a=20 | | 30=4/6x+1 | | 45m+19m+(-46m)-34m-16m-6=26 | | 2z=4+6z | | 23g-5g-14g+6=22 | | 18y-4y-10=4 | | 14=t-44= | | 29t+9t-21t-13t=36 | | 12-1/3u=1 | | x/3+2.6=-2.2 | | 2x-4=-86 | | 12-y=229 | | 7j-2j+5j-4j-2=4 | | -31=7w-3 | | 4x-(3x=6)=-1 | | 72+x(x+2)=180 | | 5x+11+8x-25=180 | | 19-(-19)-34t=32 | | -2/3(x^2-18x+81)-2=0 | | 4=26-7y |

Equations solver categories