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(25+2x)(18+2x)=330
We move all terms to the left:
(25+2x)(18+2x)-(330)=0
We add all the numbers together, and all the variables
(2x+25)(2x+18)-330=0
We multiply parentheses ..
(+4x^2+36x+50x+450)-330=0
We get rid of parentheses
4x^2+36x+50x+450-330=0
We add all the numbers together, and all the variables
4x^2+86x+120=0
a = 4; b = 86; c = +120;
Δ = b2-4ac
Δ = 862-4·4·120
Δ = 5476
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{5476}=74$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(86)-74}{2*4}=\frac{-160}{8} =-20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(86)+74}{2*4}=\frac{-12}{8} =-1+1/2 $
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