5x2-5x=30

Simple and best practice solution for 5x2-5x=30 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 5x2-5x=30 equation:



5x^2-5x=30
We move all terms to the left:
5x^2-5x-(30)=0
a = 5; b = -5; c = -30;
Δ = b2-4ac
Δ = -52-4·5·(-30)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-25}{2*5}=\frac{-20}{10} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+25}{2*5}=\frac{30}{10} =3 $

See similar equations:

| 5x^{2}-5x=30 | | 2/5b+8-4/5b=11 | | 2(i-3)=2i+15 | | 3x^2=360 | | x/8+3/4=-12 | | 7x+2+x=9+2x+17 | | X+x/2+3x=180 | | 5(3·2x)=10x-4 | | 8+4w=-4+6w | | 4a-3=9,a= | | 3(b)-3(14)=280 | | 8+3n=4n-1 | | 782=96d+206 | | 3x-4=12x-1+2x | | –3m+–3=6 | | -0.2v+0.5=-1.24 | | a^+10a+24=0 | | v-2/v-3=v-3/v-1+1 | | 10^2+x^=26^ | | 56=1.4c | | X=14,X+9=2x-5 | | 5x^2=34x-24 | | 6m=112.75–18+8.75 | | 3(x+2)+0.5x=41 | | x^2-25x-113.8=0 | | 7m-1=-9+8m | | 9=3(5x–2)= | | 0.27-x/x=0.179 | | 8b=;b=6 | | -w=6=-2 | | 6x²+12=18 | | 12+5+4=a |

Equations solver categories