(X)(x+14)=176

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Solution for (X)(x+14)=176 equation:



(X)(X+14)=176
We move all terms to the left:
(X)(X+14)-(176)=0
We multiply parentheses
X^2+14X-176=0
a = 1; b = 14; c = -176;
Δ = b2-4ac
Δ = 142-4·1·(-176)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-30}{2*1}=\frac{-44}{2} =-22 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+30}{2*1}=\frac{16}{2} =8 $

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