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0.3x^2-0.3x=0.3*23000
We move all terms to the left:
0.3x^2-0.3x-(0.3*23000)=0
We add all the numbers together, and all the variables
0.3x^2-0.3x-6900=0
a = 0.3; b = -0.3; c = -6900;
Δ = b2-4ac
Δ = -0.32-4·0.3·(-6900)
Δ = 8280.09
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{-(-0.3)-\sqrt{8280.09}}{2*0.3}=\frac{0.3-\sqrt{8280.09}}{0.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.3)+\sqrt{8280.09}}{2*0.3}=\frac{0.3+\sqrt{8280.09}}{0.6} $
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