3r(2,7-r)=5,154

Solution for 3r(2,7-r)=5,154 equation:

3r(2.7-r)=5.154

We move all terms to the left:

3r(2.7-r)-(5.154)=0

We add all the numbers together, and all the variables

3r(-1r+2.7)-(5.154)=0

We add all the numbers together, and all the variables

3r(-1r+2.7)-5.154=0

We multiply parentheses

-3r^2+8.1r-5.154=0

a = -3; b = 8.1; c = -5.154;
Δ = b2-4ac
Δ = 8.12-4·(-3)·(-5.154)
Δ = 3.762
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8.1)-\sqrt{3.762}}{2*-3}=\frac{-8.1-\sqrt{3.762}}{-6}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8.1)+\sqrt{3.762}}{2*-3}=\frac{-8.1+\sqrt{3.762}}{-6}
$