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(x+7)x=450
We move all terms to the left:
(x+7)x-(450)=0
We multiply parentheses
x^2+7x-450=0
a = 1; b = 7; c = -450;
Δ = b2-4ac
Δ = 72-4·1·(-450)
Δ = 1849
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1849}=43$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-43}{2*1}=\frac{-50}{2} =-25 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+43}{2*1}=\frac{36}{2} =18 $
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