12x+90=6x2

Solution for 12x+90=6x2 equation:

12x+90=6x^2

We move all terms to the left:

12x+90-(6x^2)=0

determiningTheFunctionDomain
-6x^2+12x+90=0

a = -6; b = 12; c = +90;
Δ = b2-4ac
Δ = 122-4·(-6)·90
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-48}{2*-6}=\frac{-60}{-12}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+48}{2*-6}=\frac{36}{-12}
=-3
$