(x*x)+15x+8=0

Solution for (x*x)+15x+8=0 equation:

(x*x)+15x+8=0

We add all the numbers together, and all the variables

(+x*x)+15x+8=0

We add all the numbers together, and all the variables

15x+(+x*x)+8=0

We get rid of parentheses

15x+x*x+8=0

Wy multiply elements

x^2+15x+8=0

a = 1; b = 15; c = +8;
Δ = b2-4ac
Δ = 152-4·1·8
Δ = 193
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{193}}{2*1}=\frac{-15-\sqrt{193}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{193}}{2*1}=\frac{-15+\sqrt{193}}{2}
$