(7/20)x=200

Solution for (7/20)x=200 equation:

(7/20)x=200

We move all terms to the left:

(7/20)x-(200)=0


Domain of the equation: 20)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+7/20)x-200=0

We multiply parentheses

7x^2-200=0

a = 7; b = 0; c = -200;
Δ = b2-4ac
Δ = 02-4·7·(-200)
Δ = 5600
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:

$\sqrt{\Delta}=\sqrt{5600}=\sqrt{400*14}=\sqrt{400}*\sqrt{14}=20\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{14}}{2*7}=\frac{0-20\sqrt{14}}{14}
=-\frac{20\sqrt{14}}{14}
=-\frac{10\sqrt{14}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{14}}{2*7}=\frac{0+20\sqrt{14}}{14}
=\frac{20\sqrt{14}}{14}
=\frac{10\sqrt{14}}{7}
$