x^2+15x=30

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Solution for x^2+15x=30 equation: 



x^2+15x=30

We move all terms to the left:

x^2+15x-(30)=0

a = 1; b = 15; c = -30;
Δ = b2-4ac
Δ = 152-4·1·(-30)
Δ = 345
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{-(15)-\sqrt{345}}{2*1}=\frac{-15-\sqrt{345}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{345}}{2*1}=\frac{-15+\sqrt{345}}{2}
$

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