144x^2=64

Solution for 144x^2=64 equation:

144x^2=64

We move all terms to the left:

144x^2-(64)=0

a = 144; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·144·(-64)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-192}{2*144}=\frac{-192}{288}
=-2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*144}=\frac{192}{288}
=2/3
$