100=16x2+36

Solution for 100=16x2+36 equation:

100=16x^2+36

We move all terms to the left:

100-(16x^2+36)=0

We get rid of parentheses

-16x^2-36+100=0

We add all the numbers together, and all the variables

-16x^2+64=0

a = -16; b = 0; c = +64;
Δ = b2-4ac
Δ = 02-4·(-16)·64
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-64}{2*-16}=\frac{-64}{-32}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+64}{2*-16}=\frac{64}{-32}
=-2
$