(x*x)+60x=350

Solution for (x*x)+60x=350 equation:

(x*x)+60x=350

We move all terms to the left:

(x*x)+60x-(350)=0

We add all the numbers together, and all the variables

(+x*x)+60x-350=0

We add all the numbers together, and all the variables

60x+(+x*x)-350=0

We get rid of parentheses

60x+x*x-350=0

Wy multiply elements

x^2+60x-350=0

a = 1; b = 60; c = -350;
Δ = b2-4ac
Δ = 602-4·1·(-350)
Δ = 5000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5000}=\sqrt{2500*2}=\sqrt{2500}*\sqrt{2}=50\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-50\sqrt{2}}{2*1}=\frac{-60-50\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+50\sqrt{2}}{2*1}=\frac{-60+50\sqrt{2}}{2}
$