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(3m+7)(5m-9)=0
We multiply parentheses ..
(+15m^2-27m+35m-63)=0
We get rid of parentheses
15m^2-27m+35m-63=0
We add all the numbers together, and all the variables
15m^2+8m-63=0
a = 15; b = 8; c = -63;
Δ = b2-4ac
Δ = 82-4·15·(-63)
Δ = 3844
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{3844}=62$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-62}{2*15}=\frac{-70}{30} =-2+1/3 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+62}{2*15}=\frac{54}{30} =1+4/5 $
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