# 3r^2=-3r+60

## Simple and best practice solution for 3r^2=-3r+60 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so dont hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

## Solution for 3r^2=-3r+60 equation:

3r^2=-3r+60
We move all terms to the left:
3r^2-(-3r+60)=0
We get rid of parentheses
3r^2+3r-60=0
a = 3; b = 3; c = -60;Δ = b2-4acΔ = 32-4·3·(-60)Δ = 729The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{729}=27$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-27}{2*3}=\frac{-30}{6} =-5$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+27}{2*3}=\frac{24}{6} =4$

`