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1000x(7x-10)=50(276=100x)
We move all terms to the left:
1000x(7x-10)-(50(276)=0
We add all the numbers together, and all the variables
1000x(7x-10)=0
We multiply parentheses
7000x^2-10000x=0
a = 7000; b = -10000; c = 0;
Δ = b2-4ac
Δ = -100002-4·7000·0
Δ = 100000000
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{100000000}=10000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10000)-10000}{2*7000}=\frac{0}{14000} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10000)+10000}{2*7000}=\frac{20000}{14000} =1+3/7 $
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