3+3x=30-4x2

Solution for 3+3x=30-4x2 equation:

3+3x=30-4x^2

We move all terms to the left:

3+3x-(30-4x^2)=0

We get rid of parentheses

4x^2+3x-30+3=0

We add all the numbers together, and all the variables

4x^2+3x-27=0

a = 4; b = 3; c = -27;
Δ = b2-4ac
Δ = 32-4·4·(-27)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-21}{2*4}=\frac{-24}{8}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+21}{2*4}=\frac{18}{8}
=2+1/4
$