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5X(7+X)=53
We move all terms to the left:
5X(7+X)-(53)=0
We add all the numbers together, and all the variables
5X(X+7)-53=0
We multiply parentheses
5X^2+35X-53=0
a = 5; b = 35; c = -53;
Δ = b2-4ac
Δ = 352-4·5·(-53)
Δ = 2285
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{-(35)-\sqrt{2285}}{2*5}=\frac{-35-\sqrt{2285}}{10} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{2285}}{2*5}=\frac{-35+\sqrt{2285}}{10} $
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