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(18+2x)(14+2x)=385
We move all terms to the left:
(18+2x)(14+2x)-(385)=0
We add all the numbers together, and all the variables
(2x+18)(2x+14)-385=0
We multiply parentheses ..
(+4x^2+28x+36x+252)-385=0
We get rid of parentheses
4x^2+28x+36x+252-385=0
We add all the numbers together, and all the variables
4x^2+64x-133=0
a = 4; b = 64; c = -133;
Δ = b2-4ac
Δ = 642-4·4·(-133)
Δ = 6224
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{6224}=\sqrt{16*389}=\sqrt{16}*\sqrt{389}=4\sqrt{389}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-4\sqrt{389}}{2*4}=\frac{-64-4\sqrt{389}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+4\sqrt{389}}{2*4}=\frac{-64+4\sqrt{389}}{8} $
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