-37.5x2=-37.5

Solution for -37.5x2=-37.5 equation:

-37.5x^2=-37.5

We move all terms to the left:

-37.5x^2-(-37.5)=0

We add all the numbers together, and all the variables

-37.5x^2+37.5=0

a = -37.5; b = 0; c = +37.5;
Δ = b2-4ac
Δ = 02-4·(-37.5)·37.5
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-75}{2*-37.5}=\frac{-75}{-75}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+75}{2*-37.5}=\frac{75}{-75}
=-1
$