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7(5m+7)(m-6)=0
We multiply parentheses ..
7(+5m^2-30m+7m-42)=0
We multiply parentheses
35m^2-210m+49m-294=0
We add all the numbers together, and all the variables
35m^2-161m-294=0
a = 35; b = -161; c = -294;
Δ = b2-4ac
Δ = -1612-4·35·(-294)
Δ = 67081
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}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{67081}=259$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-161)-259}{2*35}=\frac{-98}{70} =-1+2/5 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-161)+259}{2*35}=\frac{420}{70} =6 $
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