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(5x+10)(5x+10)+135-360=0
We add all the numbers together, and all the variables
(5x+10)(5x+10)-225=0
We multiply parentheses ..
(+25x^2+50x+50x+100)-225=0
We get rid of parentheses
25x^2+50x+50x+100-225=0
We add all the numbers together, and all the variables
25x^2+100x-125=0
a = 25; b = 100; c = -125;
Δ = b2-4ac
Δ = 1002-4·25·(-125)
Δ = 22500
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{22500}=150$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-150}{2*25}=\frac{-250}{50} =-5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+150}{2*25}=\frac{50}{50} =1 $
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