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5m+30-2m*3m=2
We move all terms to the left:
5m+30-2m*3m-(2)=0
We add all the numbers together, and all the variables
5m-2m*3m+28=0
Wy multiply elements
-6m^2+5m+28=0
a = -6; b = 5; c = +28;
Δ = b2-4ac
Δ = 52-4·(-6)·28
Δ = 697
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{697}}{2*-6}=\frac{-5-\sqrt{697}}{-12} $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{697}}{2*-6}=\frac{-5+\sqrt{697}}{-12} $
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