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-5x^2-45x=0x^2
We move all terms to the left:
-5x^2-45x-(0x^2)=0
determiningTheFunctionDomain -5x^2-0x^2-45x=0
We add all the numbers together, and all the variables
-6x^2-45x=0
a = -6; b = -45; c = 0;
Δ = b2-4ac
Δ = -452-4·(-6)·0
Δ = 2025
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{2025}=45$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-45}{2*-6}=\frac{0}{-12} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+45}{2*-6}=\frac{90}{-12} =-7+1/2 $
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