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0=2x^2+6x-36-720
We move all terms to the left:
0-(2x^2+6x-36-720)=0
We add all the numbers together, and all the variables
-(2x^2+6x-36-720)=0
We get rid of parentheses
-2x^2-6x+36+720=0
We add all the numbers together, and all the variables
-2x^2-6x+756=0
a = -2; b = -6; c = +756;
Δ = b2-4ac
Δ = -62-4·(-2)·756
Δ = 6084
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{6084}=78$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-78}{2*-2}=\frac{-72}{-4} =+18 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+78}{2*-2}=\frac{84}{-4} =-21 $
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