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5(6x-7)(6x-7)=20
We move all terms to the left:
5(6x-7)(6x-7)-(20)=0
We multiply parentheses ..
5(+36x^2-42x-42x+49)-20=0
We multiply parentheses
180x^2-210x-210x+245-20=0
We add all the numbers together, and all the variables
180x^2-420x+225=0
a = 180; b = -420; c = +225;
Δ = b2-4ac
Δ = -4202-4·180·225
Δ = 14400
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{14400}=120$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-420)-120}{2*180}=\frac{300}{360} =5/6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-420)+120}{2*180}=\frac{540}{360} =1+1/2 $
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