(2x-6)(5x+1)=0

Simple and best practice solution for (2x-6)(5x+1)=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 (2x-6)(5x+1)=0 equation:



(2x-6)(5x+1)=0
We multiply parentheses ..
(+10x^2+2x-30x-6)=0
We get rid of parentheses
10x^2+2x-30x-6=0
We add all the numbers together, and all the variables
10x^2-28x-6=0
a = 10; b = -28; c = -6;
Δ = b2-4ac
Δ = -282-4·10·(-6)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-32}{2*10}=\frac{-4}{20} =-1/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+32}{2*10}=\frac{60}{20} =3 $

See similar equations:

| x*7+30=156 | | X^2+12x-1752=0 | | 1|2(3x-11)=7x | | 36=42-v | | -4x+-4=-20 | | 1/2(3x-11)=7x | | Y=X-2b)Y=3/X6 | | 7(2x-3)=3(-3+x)-5x | | b/2-1/4=b/4 | | 3(m-1)=4m+5 | | (3x+10)=(6x+10) | | 4a+3=9a-7 | | 8(x-2)=4(2x-4)-3+ | | 2−(7g−3)=-9 | | 2x+√2=3x-4-3√2 | | 4.5r=3.2+4/5r | | 7-6a/9a=1/15 | | (x/4)+(3x/2)=2/5 | | 3c−–5=20 | | X^2-20x+800=0 | | 11(3*x)=10(3x-2) | | 25=-y/8 | | y/2=-43 | | -3/2=-4/3v-4/5 | | 70=(3x-14) | | 70=(3x-12) | | X+2x+100+3x=1300 | | 4x²-40x+51+40{x}=0 | | 48=-24+x8 | | 5x+2=4(1x-2) | | 1/2g+8=16 | | 5x–6=x–3+3x |

Equations solver categories