30r*1.4r+5=436.60

Solution for 30r*1.4r+5=436.60 equation:

30r*1.4r+5=436.60

We move all terms to the left:

30r*1.4r+5-(436.60)=0

We add all the numbers together, and all the variables

30r*1.4r+5-(436.6)=0

We add all the numbers together, and all the variables

30r*1.4r-431.6=0

Wy multiply elements

30r^2-431.6=0

a = 30; b = 0; c = -431.6;
Δ = b2-4ac
Δ = 02-4·30·(-431.6)
Δ = 51792
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{51792}=\sqrt{16*3237}=\sqrt{16}*\sqrt{3237}=4\sqrt{3237}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3237}}{2*30}=\frac{0-4\sqrt{3237}}{60}
=-\frac{4\sqrt{3237}}{60}
=-\frac{\sqrt{3237}}{15}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3237}}{2*30}=\frac{0+4\sqrt{3237}}{60}
=\frac{4\sqrt{3237}}{60}
=\frac{\sqrt{3237}}{15}
$