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(x+14)x=20.7

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Solution for (x+14)x=20.7 equation:



(x+14)x=20.7
We move all terms to the left:
(x+14)x-(20.7)=0
We add all the numbers together, and all the variables
(x+14)x-20.7=0
We multiply parentheses
x^2+14x-20.7=0
a = 1; b = 14; c = -20.7;
Δ = b2-4ac
Δ = 142-4·1·(-20.7)
Δ = 278.8
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{-(14)-\sqrt{278.8}}{2*1}=\frac{-14-\sqrt{278.8}}{2}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+\sqrt{278.8}}{2*1}=\frac{-14+\sqrt{278.8}}{2}

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