-8x2+8x+10=4x

Simple and best practice solution for -8x2+8x+10=4x 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 -8x2+8x+10=4x equation:



-8x^2+8x+10=4x
We move all terms to the left:
-8x^2+8x+10-(4x)=0
We add all the numbers together, and all the variables
-8x^2+4x+10=0
a = -8; b = 4; c = +10;
Δ = b2-4ac
Δ = 42-4·(-8)·10
Δ = 336
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:
$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{21}}{2*-8}=\frac{-4-4\sqrt{21}}{-16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{21}}{2*-8}=\frac{-4+4\sqrt{21}}{-16} $

See similar equations:

| -2.2+y/3=-9.7 | | a-27=7(2+9) | | 34-w=161 | | 5k–2=8 | | 4=a-64.9+1 | | y=2(8)+4 | | −(2.1x−9)=-10+1.7(x+10)-4x | | y=2(7)+4 | | (1.2*x)+x=98 | | (1.2x*x)+x=98 | | -3(x-15)=-66 | | 24X7=4y | | 1.2x*x+x=98 | | 2(x-2)=−2 | | 1.2x+2x=98 | | -3(x-14)=-24 | | 49+7+4=y-4 | | 2x-5(x-4)=-7+3x-3 | | 0.5x+2=x+6 | | 2w-2=-16 | | -2x-2=12x+6 | | X=2y/y-1 | | -x/5=55 | | 20x+120=35x | | -8x+11=14x+1 | | -12c=-14c−1 | | 1÷5+m=3 | | 26+10+1x=180 | | -(n+8)+n=-8n+2(4n-4 | | -2x+68+4x+90=180 | | .-2y+5+5y=14 | | 56+18m=200 |

Equations solver categories