((8-10x)(5x+4)-2)=0

Simple and best practice solution for ((8-10x)(5x+4)-2)=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 ((8-10x)(5x+4)-2)=0 equation:



((8-10x)(5x+4)-2)=0
We add all the numbers together, and all the variables
((-10x+8)(5x+4)-2)=0
We multiply parentheses ..
((-50x^2-40x+40x+32)-2)=0
We calculate terms in parentheses: +((-50x^2-40x+40x+32)-2), so:
(-50x^2-40x+40x+32)-2
We get rid of parentheses
-50x^2-40x+40x+32-2
We add all the numbers together, and all the variables
-50x^2+30
Back to the equation:
+(-50x^2+30)
We get rid of parentheses
-50x^2+30=0
a = -50; b = 0; c = +30;
Δ = b2-4ac
Δ = 02-4·(-50)·30
Δ = 6000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{6000}=\sqrt{400*15}=\sqrt{400}*\sqrt{15}=20\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{15}}{2*-50}=\frac{0-20\sqrt{15}}{-100} =-\frac{20\sqrt{15}}{-100} =-\frac{\sqrt{15}}{-5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{15}}{2*-50}=\frac{0+20\sqrt{15}}{-100} =\frac{20\sqrt{15}}{-100} =\frac{\sqrt{15}}{-5} $

See similar equations:

| -15+23=-4(x+3) | | x+.03x=5200 | | 3(4x+4)=9(5x+3) | | -3(x-5)=2(x+1)+5 | | 20250=-10t^2+2000 | | 5t^2+4.9t-300=0 | | -20-10h=-20+8h | | -18+83=15(x+2) | | t^2+t+60=0 | | 3/2x-12=118 | | -2(x+1)+x=3 | | 5p-6=16 | | t^2+t-60=0 | | -9(x-2)+3=21 | | 2x+3x+8=18 | | -3t^2+30t+25=0 | | −x^2−8=−33 | | 31-x=9 | | 8x-(3x-4)=21 | | -3(6r+2)=-114 | | t^2-t-300=0 | | 49n2+28n+4=0 | | 2(5x)-8x+5=0 | | -84=-7(-2m+2) | | 25=0,5f+5 | | 90=-2k-8(k-5) | | 13x-2x=6 | | t^2+t-300=0 | | 4.2/3.6=x/20 | | x+.06x=106000 | | -6x+4=3-6x | | t^2+t+300=0 |

Equations solver categories