-4x^2=-1125

Solution for -4x^2=-1125 equation:

-4x^2=-1125

We move all terms to the left:

-4x^2-(-1125)=0

We add all the numbers together, and all the variables

-4x^2+1125=0

a = -4; b = 0; c = +1125;
Δ = b2-4ac
Δ = 02-4·(-4)·1125
Δ = 18000
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:

$\sqrt{\Delta}=\sqrt{18000}=\sqrt{3600*5}=\sqrt{3600}*\sqrt{5}=60\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{5}}{2*-4}=\frac{0-60\sqrt{5}}{-8}
=-\frac{60\sqrt{5}}{-8}
=-\frac{15\sqrt{5}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{5}}{2*-4}=\frac{0+60\sqrt{5}}{-8}
=\frac{60\sqrt{5}}{-8}
=\frac{15\sqrt{5}}{-2}
$