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(38+x)*4x=2.65
We move all terms to the left:
(38+x)*4x-(2.65)=0
We add all the numbers together, and all the variables
(x+38)*4x-(2.65)=0
We add all the numbers together, and all the variables
(x+38)*4x-2.65=0
We multiply parentheses
4x^2+152x-2.65=0
a = 4; b = 152; c = -2.65;
Δ = b2-4ac
Δ = 1522-4·4·(-2.65)
Δ = 23146.4
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{-(152)-\sqrt{23146.4}}{2*4}=\frac{-152-\sqrt{23146.4}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(152)+\sqrt{23146.4}}{2*4}=\frac{-152+\sqrt{23146.4}}{8} $
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