84=2x^2-6x-80

Simple and best practice solution for 84=2x^2-6x-80 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 84=2x^2-6x-80 equation:



84=2x^2-6x-80
We move all terms to the left:
84-(2x^2-6x-80)=0
We get rid of parentheses
-2x^2+6x+80+84=0
We add all the numbers together, and all the variables
-2x^2+6x+164=0
a = -2; b = 6; c = +164;
Δ = b2-4ac
Δ = 62-4·(-2)·164
Δ = 1348
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:
$\sqrt{\Delta}=\sqrt{1348}=\sqrt{4*337}=\sqrt{4}*\sqrt{337}=2\sqrt{337}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{337}}{2*-2}=\frac{-6-2\sqrt{337}}{-4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{337}}{2*-2}=\frac{-6+2\sqrt{337}}{-4} $

See similar equations:

| 10j-7j+20=-2j-20 | | 4(w+8)=8 | | 10p-14=9p-9 | | -3-4y+10y=7y-9 | | 5(2x+4)-3(x-2)=4x-2 | | x^2+40x-525=0 | | 11/5c-12=32 | | X+4x-8x=6+3 | | 4=b=10/3 | | 36=n×4 | | 8–3x=x–4(-2x) | | 3x2+1=4;x=-1 | | 10-3c=c-10 | | 0.3(r+2)=-0.1(-2r+4) | | -4r+14=-5r-(7-4r) | | -10-2j-8=-6j+10 | | x+9/14=10/15 | | 39–y=65 | | -5(2x+8)=6(-2-2x) | | 10x=12=7x+39 | | 7x-12=15;x=4 | | n+1-6=-5 | | -4n-7=-3n | | 1/12(48+24b=2(17-4b) | | 2(x-7)=4x-4 | | 3.6x-1.6x=24 | | -8(a+2)=-(2a+16) | | 9s+10=-6+7s | | (6x-23)+(4x+9)+x=180 | | 6.5=2.25+x | | 7-6u=-5+29 | | −8(a+2)=−(2a+16) |

Equations solver categories