X-(15/100x)=11.87

Solution for X-(15/100x)=11.87 equation:

X-(15/100X)=11.87

We move all terms to the left:

X-(15/100X)-(11.87)=0


Domain of the equation: 100X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+15/100X)-(11.87)=0

We add all the numbers together, and all the variables

X-(+15/100X)-11.87=0

We get rid of parentheses

X-15/100X-11.87=0

We multiply all the terms by the denominator


X*100X-(11.87)*100X-15=0

We multiply parentheses

X*100X-1187X-15=0

Wy multiply elements

100X^2-1187X-15=0

a = 100; b = -1187; c = -15;
Δ = b2-4ac
Δ = -11872-4·100·(-15)
Δ = 1414969
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{-(-1187)-\sqrt{1414969}}{2*100}=\frac{1187-\sqrt{1414969}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1187)+\sqrt{1414969}}{2*100}=\frac{1187+\sqrt{1414969}}{200}
$