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7m(6m-9)=5
We move all terms to the left:
7m(6m-9)-(5)=0
We multiply parentheses
42m^2-63m-5=0
a = 42; b = -63; c = -5;
Δ = b2-4ac
Δ = -632-4·42·(-5)
Δ = 4809
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{-(-63)-\sqrt{4809}}{2*42}=\frac{63-\sqrt{4809}}{84} $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+\sqrt{4809}}{2*42}=\frac{63+\sqrt{4809}}{84} $
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