X=15.1/5x-12

Solution for X=15.1/5x-12 equation:

X=15.1/5X-12

We move all terms to the left:

X-(15.1/5X-12)=0


Domain of the equation: 5X-12)!=0

X∈R


We get rid of parentheses

X-15.1/5X+12=0

We multiply all the terms by the denominator


X*5X+12*5X-15.1=0

Wy multiply elements

5X^2+60X-15.1=0

a = 5; b = 60; c = -15.1;
Δ = b2-4ac
Δ = 602-4·5·(-15.1)
Δ = 3902
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{-(60)-\sqrt{3902}}{2*5}=\frac{-60-\sqrt{3902}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+\sqrt{3902}}{2*5}=\frac{-60+\sqrt{3902}}{10}
$