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(5x-10)(5x-10)=5625
We move all terms to the left:
(5x-10)(5x-10)-(5625)=0
We multiply parentheses ..
(+25x^2-50x-50x+100)-5625=0
We get rid of parentheses
25x^2-50x-50x+100-5625=0
We add all the numbers together, and all the variables
25x^2-100x-5525=0
a = 25; b = -100; c = -5525;
Δ = b2-4ac
Δ = -1002-4·25·(-5525)
Δ = 562500
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{562500}=750$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-750}{2*25}=\frac{-650}{50} =-13 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+750}{2*25}=\frac{850}{50} =17 $
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