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(5x+7)(10-x/3)=0
We add all the numbers together, and all the variables
(5x+7)(-x/3+10)=0
We multiply parentheses ..
(-5x^2+50x-7x+70)=0
We get rid of parentheses
-5x^2+50x-7x+70=0
We add all the numbers together, and all the variables
-5x^2+43x+70=0
a = -5; b = 43; c = +70;
Δ = b2-4ac
Δ = 432-4·(-5)·70
Δ = 3249
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{3249}=57$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(43)-57}{2*-5}=\frac{-100}{-10} =+10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+57}{2*-5}=\frac{14}{-10} =-1+2/5 $
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