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3x*2x-5-3x-4*2x-9=204
We move all terms to the left:
3x*2x-5-3x-4*2x-9-(204)=0
We add all the numbers together, and all the variables
-3x+3x*2x-4*2x-218=0
Wy multiply elements
6x^2-3x-8x-218=0
We add all the numbers together, and all the variables
6x^2-11x-218=0
a = 6; b = -11; c = -218;
Δ = b2-4ac
Δ = -112-4·6·(-218)
Δ = 5353
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{-(-11)-\sqrt{5353}}{2*6}=\frac{11-\sqrt{5353}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{5353}}{2*6}=\frac{11+\sqrt{5353}}{12} $
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