3a(a-5)=0

Simple and best practice solution for 3a(a-5)=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 3a(a-5)=0 equation:



3a(a-5)=0
We multiply parentheses
3a^2-15a=0
a = 3; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·3·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*3}=\frac{0}{6} =0 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*3}=\frac{30}{6} =5 $

See similar equations:

| 492/3x=32-1/6x | | 2x+8/4=5x-13/3 | | 120x^2-233x+112=0 | | 120x²-233x+112=0 | | 7b-9=6+3b | | 7x—3=4x—5 | | 7x—54=x+7= | | H(x)=2x+3÷5-x | | +4+3x=17 | | 3x=(5/2)*(1/3) | | 4x×2+57=158 | | 4x-2=3(x-6) | | 0.5x+1.5=-2.5+0.3x | | 6(x+3)=216 | | x/2+8=72 | | 2x+31=2x-312x+31=2x−31 | | b^2-12b=-34 | | 0.33(a)=18 | | 1/3(a)=18 | | 180x+66=66 | | 180x+40=40 | | (5(e-6))/3-e/7-22=0 | | (5(e-6)/3)-(e/7+22)=0 | | (13+x)(7+x)=280 | | y=-14/3-7 | | 9(5x-5)=39 | | 4+4y-6=0 | | 2x=6-12/2 | | z^2+7=24 | | 1.5y=0.9y-6 | | 18+x*3=6 | | 0.5y-0.9y=-6 |

Equations solver categories