-1.5x^2+30x=R

Solution for -1.5x^2+30x=R equation:

-1.5x^2+30x=

We move all terms to the left:

-1.5x^2+30x-()=0

We add all the numbers together, and all the variables

-1.5x^2+30x=0

a = -1.5; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-1.5)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-1.5}=\frac{-60}{-3}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-1.5}=\frac{0}{-3}
=0
$