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6x-18-7x(3-x)=0
We add all the numbers together, and all the variables
6x-7x(-1x+3)-18=0
We multiply parentheses
7x^2+6x-21x-18=0
We add all the numbers together, and all the variables
7x^2-15x-18=0
a = 7; b = -15; c = -18;
Δ = b2-4ac
Δ = -152-4·7·(-18)
Δ = 729
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{729}=27$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-27}{2*7}=\frac{-12}{14} =-6/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+27}{2*7}=\frac{42}{14} =3 $
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