(650/100)*x=40

Solution for (650/100)*x=40 equation:

(650/100)*x=40

We move all terms to the left:

(650/100)*x-(40)=0


Domain of the equation: 100)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+650/100)*x-40=0

We multiply parentheses

650x^2-40=0

a = 650; b = 0; c = -40;
Δ = b2-4ac
Δ = 02-4·650·(-40)
Δ = 104000
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:

$\sqrt{\Delta}=\sqrt{104000}=\sqrt{1600*65}=\sqrt{1600}*\sqrt{65}=40\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{65}}{2*650}=\frac{0-40\sqrt{65}}{1300}
=-\frac{40\sqrt{65}}{1300}
=-\frac{2\sqrt{65}}{65}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{65}}{2*650}=\frac{0+40\sqrt{65}}{1300}
=\frac{40\sqrt{65}}{1300}
=\frac{2\sqrt{65}}{65}
$