16=-4.9x^2+8x+14

Solution for 16=-4.9x^2+8x+14 equation:

16=-4.9x^2+8x+14

We move all terms to the left:

16-(-4.9x^2+8x+14)=0

We get rid of parentheses

4.9x^2-8x-14+16=0

We add all the numbers together, and all the variables

4.9x^2-8x+2=0

a = 4.9; b = -8; c = +2;
Δ = b2-4ac
Δ = -82-4·4.9·2
Δ = 24.8
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{-(-8)-\sqrt{24.8}}{2*4.9}=\frac{8-\sqrt{24.8}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{24.8}}{2*4.9}=\frac{8+\sqrt{24.8}}{9.8}
$