107=17x^2-46

Solution for 107=17x^2-46 equation:

107=17x^2-46

We move all terms to the left:

107-(17x^2-46)=0

We get rid of parentheses

-17x^2+46+107=0

We add all the numbers together, and all the variables

-17x^2+153=0

a = -17; b = 0; c = +153;
Δ = b2-4ac
Δ = 02-4·(-17)·153
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-102}{2*-17}=\frac{-102}{-34}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+102}{2*-17}=\frac{102}{-34}
=-3
$