x^2+16x^2=153

Solution for x^2+16x^2=153 equation:

x^2+16x^2=153

We move all terms to the left:

x^2+16x^2-(153)=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
$