(4x+6)(6x-10)=0

Simple and best practice solution for (4x+6)(6x-10)=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 (4x+6)(6x-10)=0 equation:



(4x+6)(6x-10)=0
We multiply parentheses ..
(+24x^2-40x+36x-60)=0
We get rid of parentheses
24x^2-40x+36x-60=0
We add all the numbers together, and all the variables
24x^2-4x-60=0
a = 24; b = -4; c = -60;
Δ = b2-4ac
Δ = -42-4·24·(-60)
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*24}=\frac{-72}{48} =-1+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*24}=\frac{80}{48} =1+2/3 $

See similar equations:

| 3c=3+c | | –1+w=–2w−10 | | -0.02+0.5x=-0.52 | | 10x+1=122 | | 52=-3-11x | | 7(3w+9)=-15 | | 216=2x^2 | | x*0.13=10 | | (2x-10)=360 | | 7/4r-2=3/4r | | 27=4w-9 | | -8(6+5n)-3n=(-5) | | 19n-16=180 | | -6+w/3=15 | | 10-(x*0.13)=10 | | 4-9*h=4 | | 7x-2+x=30 | | 13n+12=180 | | 26n-4=180 | | 10=2*v | | 28=u/2+17 | | w+24=35 | | 2p/9+5/9=7/9 | | 9+-10y=69 | | 8x×3×=15 | | 12c+13=3c+48 | | 15.5=3x+6.2 | | (2x+9)(3x+1)=90 | | 90=p(0.04)(0.5) | | x+5+4x-15=180 | | (x+4)1/2=6 | | -2x+3=2x+12-7x |

Equations solver categories