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x*(x*0.15)=50
We move all terms to the left:
x*(x*0.15)-(50)=0
We add all the numbers together, and all the variables
x*(+x*0.15)-50=0
We multiply parentheses
0.15x^2-50=0
a = 0.15; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·0.15·(-50)
Δ = 30
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{-(0)-\sqrt{30}}{2*0.15}=\frac{0-\sqrt{30}}{0.3} =-\frac{\sqrt{}}{0.3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{30}}{2*0.15}=\frac{0+\sqrt{30}}{0.3} =\frac{\sqrt{}}{0.3} $
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