36=36+14t+-16t^2

Solution for 36=36+14t+-16t^2 equation:

36=36+14t+-16t^2

We move all terms to the left:

36-(36+14t+-16t^2)=0

We use the square of the difference formula

-(36+14t-16t^2)+36=0

We get rid of parentheses

16t^2-14t-36+36=0

We add all the numbers together, and all the variables

16t^2-14t=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:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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