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.(0.15)(x)=0.04
We move all terms to the left:
.(0.15)(x)-(0.04)=0
We add all the numbers together, and all the variables
.(0.15)x-0.04=0
We multiply parentheses
0.15x^2-0.04=0
a = 0.15; b = 0; c = -0.04;
Δ = b2-4ac
Δ = 02-4·0.15·(-0.04)
Δ = 0.024
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{0.024}}{2*0.15}=\frac{0-\sqrt{0.024}}{0.3} =-\frac{\sqrt{}}{0.3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.024}}{2*0.15}=\frac{0+\sqrt{0.024}}{0.3} =\frac{\sqrt{}}{0.3} $
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