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X^+7(3+2X)-2X(1+3X)=0
We add all the numbers together, and all the variables
X^+7(2X+3)-2X(3X+1)=0
We add all the numbers together, and all the variables
X+7(2X+3)-2X(3X+1)=0
We multiply parentheses
-6X^2+X+14X-2X+21=0
We add all the numbers together, and all the variables
-6X^2+13X+21=0
a = -6; b = 13; c = +21;
Δ = b2-4ac
Δ = 132-4·(-6)·21
Δ = 673
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{-(13)-\sqrt{673}}{2*-6}=\frac{-13-\sqrt{673}}{-12} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{673}}{2*-6}=\frac{-13+\sqrt{673}}{-12} $
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