6.8247242(23+x)=2x(7325x+5)

Solution for 6.8247242(23+x)=2x(7325x+5) equation:

6.8247242(23+x)=2x(7325x+5)

We move all terms to the left:

6.8247242(23+x)-(2x(7325x+5))=0

We add all the numbers together, and all the variables

6.8247242(x+23)-(2x(7325x+5))=0

We multiply parentheses

6.8247242x-(2x(7325x+5))+156.9686566=0


We calculate terms in parentheses: -(2x(7325x+5)), so:

2x(7325x+5)

We multiply parentheses

14650x^2+10x

Back to the equation:

-(14650x^2+10x)


We get rid of parentheses

-14650x^2+6.8247242x-10x+156.9686566=0

We add all the numbers together, and all the variables

-14650x^2-3.1752758x+156.9686566=0

a = -14650; b = -3.1752758; c = +156.9686566;
Δ = b2-4ac
Δ = -3.17527582-4·(-14650)·156.9686566
Δ = 9198373.3591364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3.1752758)-\sqrt{9198373.3591364}}{2*-14650}=\frac{3.1752758-\sqrt{9198373.3591364}}{-29300}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.1752758)+\sqrt{9198373.3591364}}{2*-14650}=\frac{3.1752758+\sqrt{9198373.3591364}}{-29300}
$