225x2-16=33

Solution for 225x2-16=33 equation:

225x^2-16=33

We move all terms to the left:

225x^2-16-(33)=0

We add all the numbers together, and all the variables

225x^2-49=0

a = 225; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·225·(-49)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*225}=\frac{-210}{450}
=-7/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*225}=\frac{210}{450}
=7/15
$