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4x(x-17)=2x+2(x)
We move all terms to the left:
4x(x-17)-(2x+2(x))=0
We add all the numbers together, and all the variables
4x(x-17)-(+4x)=0
We multiply parentheses
4x^2-68x-(+4x)=0
We get rid of parentheses
4x^2-68x-4x=0
We add all the numbers together, and all the variables
4x^2-72x=0
a = 4; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·4·0
Δ = 5184
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{5184}=72$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*4}=\frac{0}{8} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*4}=\frac{144}{8} =18 $
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