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(4x+27.5)(x+55)=5324
We move all terms to the left:
(4x+27.5)(x+55)-(5324)=0
We multiply parentheses ..
(+4x^2+220x+27.5x+1512.5)-5324=0
We get rid of parentheses
4x^2+220x+27.5x+1512.5-5324=0
We add all the numbers together, and all the variables
4x^2+247.5x-3811.5=0
a = 4; b = 247.5; c = -3811.5;
Δ = b2-4ac
Δ = 247.52-4·4·(-3811.5)
Δ = 122240.25
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(247.5)-\sqrt{122240.25}}{2*4}=\frac{-247.5-\sqrt{122240.25}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(247.5)+\sqrt{122240.25}}{2*4}=\frac{-247.5+\sqrt{122240.25}}{8} $
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