2x(970-98x)=633

Simple and best practice solution for 2x(970-98x)=633 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(970-98x)=633 equation:



2x(970-98x)=633
We move all terms to the left:
2x(970-98x)-(633)=0
We add all the numbers together, and all the variables
2x(-98x+970)-633=0
We multiply parentheses
-196x^2+1940x-633=0
a = -196; b = 1940; c = -633;
Δ = b2-4ac
Δ = 19402-4·(-196)·(-633)
Δ = 3267328
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:
$\sqrt{\Delta}=\sqrt{3267328}=\sqrt{256*12763}=\sqrt{256}*\sqrt{12763}=16\sqrt{12763}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1940)-16\sqrt{12763}}{2*-196}=\frac{-1940-16\sqrt{12763}}{-392} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1940)+16\sqrt{12763}}{2*-196}=\frac{-1940+16\sqrt{12763}}{-392} $

See similar equations:

| X=15+180-x | | 7t=6t-7 | | y2=9 | | -12=3(n−19)−15 | | -1+q=8+2q | | -8-3s=-2s | | 5/8x+1/2=-3/4 | | 2(4x+9)=16x+11-8x+7 | | -5d=-8-4d | | 5v-9v=30 | | -4+5s=3s | | 8x+15=28 | | 2x-(3+1)=10 | | 4(3+x-1)=9-x | | -3=(5x-9) | | 5h+(-6)=-2 | | 2(4x=9)=16x+11-8x+7 | | 63x​ +123​ =43​ | | -25÷j=5 | | 10(x)+11(100-x)=10.81 | | -14a+3a-1=10 | | -20v+20=-19v | | 125.26+20.64x=200 | | 3x/6+3/12=3/4 | | 3(10x+1)=30x-2 | | -11y=-10y+14 | | 6+v-8=47 | | -19m=-18m+12 | | 37-3D=d+9 | | -x+11=-1x+16 | | 7+12w=13w | | 7+12w=13 |

Equations solver categories