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180=361x-4x^2
We move all terms to the left:
180-(361x-4x^2)=0
We get rid of parentheses
4x^2-361x+180=0
a = 4; b = -361; c = +180;
Δ = b2-4ac
Δ = -3612-4·4·180
Δ = 127441
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{-(-361)-\sqrt{127441}}{2*4}=\frac{361-\sqrt{127441}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-361)+\sqrt{127441}}{2*4}=\frac{361+\sqrt{127441}}{8} $
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