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0=-0.00635x^2+4.0005x-0.07875
We move all terms to the left:
0-(-0.00635x^2+4.0005x-0.07875)=0
We add all the numbers together, and all the variables
-(-0.00635x^2+4.0005x-0.07875)=0
We get rid of parentheses
0.00635x^2-4.0005x+0.07875=0
a = 0.00635; b = -4.0005; c = +0.07875;
Δ = b2-4ac
Δ = -4.00052-4·0.00635·0.07875
Δ = 16.002
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{-(-4.0005)-\sqrt{16.002}}{2*0.00635}=\frac{4.0005-\sqrt{16.002}}{0.0127} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.0005)+\sqrt{16.002}}{2*0.00635}=\frac{4.0005+\sqrt{16.002}}{0.0127} $
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