3x2+15x=-13

Solution for 3x2+15x=-13 equation:

3x^2+15x=-13

We move all terms to the left:

3x^2+15x-(-13)=0

We add all the numbers together, and all the variables

3x^2+15x+13=0

a = 3; b = 15; c = +13;
Δ = b2-4ac
Δ = 152-4·3·13
Δ = 69
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{69}}{2*3}=\frac{-15-\sqrt{69}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{69}}{2*3}=\frac{-15+\sqrt{69}}{6}
$