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(9-7x)x=-(11+2)-11
We move all terms to the left:
(9-7x)x-(-(11+2)-11)=0
We add all the numbers together, and all the variables
(-7x+9)x-(-13-11)=0
We add all the numbers together, and all the variables
(-7x+9)x+24=0
We multiply parentheses
-7x^2+9x+24=0
a = -7; b = 9; c = +24;
Δ = b2-4ac
Δ = 92-4·(-7)·24
Δ = 753
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{753}}{2*-7}=\frac{-9-\sqrt{753}}{-14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{753}}{2*-7}=\frac{-9+\sqrt{753}}{-14} $
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