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5(x+30)5x=3.450
We move all terms to the left:
5(x+30)5x-(3.450)=0
We add all the numbers together, and all the variables
5(x+30)5x-(3.45)=0
We add all the numbers together, and all the variables
5(x+30)5x-3.45=0
We multiply parentheses
25x^2+750x-3.45=0
a = 25; b = 750; c = -3.45;
Δ = b2-4ac
Δ = 7502-4·25·(-3.45)
Δ = 562845
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{-(750)-\sqrt{562845}}{2*25}=\frac{-750-\sqrt{562845}}{50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(750)+\sqrt{562845}}{2*25}=\frac{-750+\sqrt{562845}}{50} $
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