144x^2=64/225

Solution for 144x^2=64/225 equation:

144x^2=64/225

We move all terms to the left:

144x^2-(64/225)=0

We add all the numbers together, and all the variables

144x^2-(+64/225)=0

We get rid of parentheses

144x^2-64/225=0

We multiply all the terms by the denominator


144x^2*225-64=0

Wy multiply elements

32400x^2-64=0

a = 32400; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·32400·(-64)
Δ = 8294400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8294400}=2880$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2880}{2*32400}=\frac{-2880}{64800}
=-2/45
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2880}{2*32400}=\frac{2880}{64800}
=2/45
$