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2x-5x*6x=-392x-5x+6x=-39
We move all terms to the left:
2x-5x*6x-(-392x-5x+6x)=0
We add all the numbers together, and all the variables
2x-5x*6x-(-391x)=0
Wy multiply elements
-30x^2+2x-(-391x)=0
We get rid of parentheses
-30x^2+2x+391x=0
We add all the numbers together, and all the variables
-30x^2+393x=0
a = -30; b = 393; c = 0;
Δ = b2-4ac
Δ = 3932-4·(-30)·0
Δ = 154449
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{154449}=393$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(393)-393}{2*-30}=\frac{-786}{-60} =13+1/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(393)+393}{2*-30}=\frac{0}{-60} =0 $
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