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x*(x+16)=225

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Solution for x*(x+16)=225 equation:



x*(x+16)=225
We move all terms to the left:
x*(x+16)-(225)=0
We multiply parentheses
x^2+16x-225=0
a = 1; b = 16; c = -225;
Δ = b2-4ac
Δ = 162-4·1·(-225)
Δ = 1156
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{1156}=34
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-34}{2*1}=\frac{-50}{2} =-25
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+34}{2*1}=\frac{18}{2} =9

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