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5x(x-4)=7x
We move all terms to the left:
5x(x-4)-(7x)=0
We add all the numbers together, and all the variables
-7x+5x(x-4)=0
We multiply parentheses
5x^2-7x-20x=0
We add all the numbers together, and all the variables
5x^2-27x=0
a = 5; b = -27; c = 0;
Δ = b2-4ac
Δ = -272-4·5·0
Δ = 729
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{729}=27$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-27}{2*5}=\frac{0}{10} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+27}{2*5}=\frac{54}{10} =5+2/5 $
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