21*(x/8)=50*(x/11)

Solution for 21*(x/8)=50*(x/11) equation:

21(x/8)=50(x/11)

We move all terms to the left:

21(x/8)-(50(x/11))=0

We add all the numbers together, and all the variables

21(+x/8)-(50(+x/11))=0

We multiply parentheses

21x-(50(+x/11))=0

We multiply all the terms by the denominator


21x*11))-(50(+x=0

We add all the numbers together, and all the variables

x+21x*11))-(50(=0

Wy multiply elements

231x^2+x=0

a = 231; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·231·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*231}=\frac{-2}{462}
=-1/231
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*231}=\frac{0}{462}
=0
$