7x+12-12x^2=0

Solution for 7x+12-12x^2=0 equation:

7x+12-12x^2=0

a = -12; b = 7; c = +12;
Δ = b2-4ac
Δ = 72-4·(-12)·12
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-25}{2*-12}=\frac{-32}{-24}
=1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+25}{2*-12}=\frac{18}{-24}
=-3/4
$