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-5x^2=-1125
We move all terms to the left:
-5x^2-(-1125)=0
We add all the numbers together, and all the variables
-5x^2+1125=0
a = -5; b = 0; c = +1125;
Δ = b2-4ac
Δ = 02-4·(-5)·1125
Δ = 22500
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{22500}=150$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-150}{2*-5}=\frac{-150}{-10} =+15 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+150}{2*-5}=\frac{150}{-10} =-15 $
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