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(4+2x)(5+2x)=20
We move all terms to the left:
(4+2x)(5+2x)-(20)=0
We add all the numbers together, and all the variables
(2x+4)(2x+5)-20=0
We multiply parentheses ..
(+4x^2+10x+8x+20)-20=0
We get rid of parentheses
4x^2+10x+8x+20-20=0
We add all the numbers together, and all the variables
4x^2+18x=0
a = 4; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·4·0
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*4}=\frac{-36}{8} =-4+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*4}=\frac{0}{8} =0 $
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