15x^2/9=143

Solution for 15x^2/9=143 equation:

15x^2/9=143

We move all terms to the left:

15x^2/9-(143)=0

We multiply all the terms by the denominator


15x^2-143*9=0

We add all the numbers together, and all the variables

15x^2-1287=0

a = 15; b = 0; c = -1287;
Δ = b2-4ac
Δ = 02-4·15·(-1287)
Δ = 77220
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{77220}=\sqrt{36*2145}=\sqrt{36}*\sqrt{2145}=6\sqrt{2145}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{2145}}{2*15}=\frac{0-6\sqrt{2145}}{30}
=-\frac{6\sqrt{2145}}{30}
=-\frac{\sqrt{2145}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{2145}}{2*15}=\frac{0+6\sqrt{2145}}{30}
=\frac{6\sqrt{2145}}{30}
=\frac{\sqrt{2145}}{5}
$