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-7x=5x^2
We move all terms to the left:
-7x-(5x^2)=0
determiningTheFunctionDomain -5x^2-7x=0
a = -5; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·(-5)·0
Δ = 49
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{49}=7$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*-5}=\frac{0}{-10} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*-5}=\frac{14}{-10} =-1+2/5 $
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