12=-16x^2+14x+12

Solution for 12=-16x^2+14x+12 equation:

12=-16x^2+14x+12

We move all terms to the left:

12-(-16x^2+14x+12)=0

We get rid of parentheses

16x^2-14x-12+12=0

We add all the numbers together, and all the variables

16x^2-14x=0

a = 16; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·16·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*16}=\frac{28}{32}
=7/8
$