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(5-10x)(9-3x)=0
We add all the numbers together, and all the variables
(-10x+5)(-3x+9)=0
We multiply parentheses ..
(+30x^2-90x-15x+45)=0
We get rid of parentheses
30x^2-90x-15x+45=0
We add all the numbers together, and all the variables
30x^2-105x+45=0
a = 30; b = -105; c = +45;
Δ = b2-4ac
Δ = -1052-4·30·45
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-75}{2*30}=\frac{30}{60} =1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+75}{2*30}=\frac{180}{60} =3 $
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