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5x-15+7x(x+4)=73
We move all terms to the left:
5x-15+7x(x+4)-(73)=0
We add all the numbers together, and all the variables
5x+7x(x+4)-88=0
We multiply parentheses
7x^2+5x+28x-88=0
We add all the numbers together, and all the variables
7x^2+33x-88=0
a = 7; b = 33; c = -88;
Δ = b2-4ac
Δ = 332-4·7·(-88)
Δ = 3553
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{-(33)-\sqrt{3553}}{2*7}=\frac{-33-\sqrt{3553}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{3553}}{2*7}=\frac{-33+\sqrt{3553}}{14} $
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