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(x+2)(x-1.35)-3x=0
We add all the numbers together, and all the variables
-3x+(x+2)(x-1.35)=0
We multiply parentheses ..
(+x^2-1.35x+2x-2.7)-3x=0
We get rid of parentheses
x^2-1.35x+2x-3x-2.7=0
We add all the numbers together, and all the variables
x^2-2.35x-2.7=0
a = 1; b = -2.35; c = -2.7;
Δ = b2-4ac
Δ = -2.352-4·1·(-2.7)
Δ = 16.3225
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{-(-2.35)-\sqrt{16.3225}}{2*1}=\frac{2.35-\sqrt{16.3225}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.35)+\sqrt{16.3225}}{2*1}=\frac{2.35+\sqrt{16.3225}}{2} $
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