(x*x)+6x-40=0

Solution for (x*x)+6x-40=0 equation:

(x*x)+6x-40=0

We add all the numbers together, and all the variables

(+x*x)+6x-40=0

We add all the numbers together, and all the variables

6x+(+x*x)-40=0

We get rid of parentheses

6x+x*x-40=0

Wy multiply elements

x^2+6x-40=0

a = 1; b = 6; c = -40;
Δ = b2-4ac
Δ = 62-4·1·(-40)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-14}{2*1}=\frac{-20}{2}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+14}{2*1}=\frac{8}{2}
=4
$