3.2x^2=7.5

Solution for 3.2x^2=7.5 equation:

3.2x^2=7.5

We move all terms to the left:

3.2x^2-(7.5)=0

We add all the numbers together, and all the variables

3.2x^2-7.5=0

a = 3.2; b = 0; c = -7.5;
Δ = b2-4ac
Δ = 02-4·3.2·(-7.5)
Δ = 96
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:

$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{6}}{2*3.2}=\frac{0-4\sqrt{6}}{6.4}
=-\frac{4\sqrt{6}}{6.4}
=-\frac{2\sqrt{6}}{3.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{6}}{2*3.2}=\frac{0+4\sqrt{6}}{6.4}
=\frac{4\sqrt{6}}{6.4}
=\frac{2\sqrt{6}}{3.2}
$