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17+3x(3+7x)=180
We move all terms to the left:
17+3x(3+7x)-(180)=0
We add all the numbers together, and all the variables
3x(7x+3)+17-180=0
We add all the numbers together, and all the variables
3x(7x+3)-163=0
We multiply parentheses
21x^2+9x-163=0
a = 21; b = 9; c = -163;
Δ = b2-4ac
Δ = 92-4·21·(-163)
Δ = 13773
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{-(9)-\sqrt{13773}}{2*21}=\frac{-9-\sqrt{13773}}{42} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{13773}}{2*21}=\frac{-9+\sqrt{13773}}{42} $
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