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26(16+2x)+2x(16+2x)=184
We move all terms to the left:
26(16+2x)+2x(16+2x)-(184)=0
We add all the numbers together, and all the variables
26(2x+16)+2x(2x+16)-184=0
We multiply parentheses
4x^2+52x+32x+416-184=0
We add all the numbers together, and all the variables
4x^2+84x+232=0
a = 4; b = 84; c = +232;
Δ = b2-4ac
Δ = 842-4·4·232
Δ = 3344
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3344}=\sqrt{16*209}=\sqrt{16}*\sqrt{209}=4\sqrt{209}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-4\sqrt{209}}{2*4}=\frac{-84-4\sqrt{209}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+4\sqrt{209}}{2*4}=\frac{-84+4\sqrt{209}}{8} $
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