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7(x+3)5x+13=
We move all terms to the left:
7(x+3)5x+13-()=0
We add all the numbers together, and all the variables
7(x+3)5x=0
We multiply parentheses
35x^2+105x=0
a = 35; b = 105; c = 0;
Δ = b2-4ac
Δ = 1052-4·35·0
Δ = 11025
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{11025}=105$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(105)-105}{2*35}=\frac{-210}{70} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+105}{2*35}=\frac{0}{70} =0 $
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