12(x)=35-4.9x^2

Solution for 12(x)=35-4.9x^2 equation:

12(x)=35-4.9x^2

We move all terms to the left:

12(x)-(35-4.9x^2)=0

We get rid of parentheses

4.9x^2+12x-35=0

a = 4.9; b = 12; c = -35;
Δ = b2-4ac
Δ = 122-4·4.9·(-35)
Δ = 830
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-\sqrt{830}}{2*4.9}=\frac{-12-\sqrt{830}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+\sqrt{830}}{2*4.9}=\frac{-12+\sqrt{830}}{9.8}
$