x2+130x-1500=0

Solution for x2+130x-1500=0 equation:

x2+130x-1500=0

We add all the numbers together, and all the variables

x^2+130x-1500=0

a = 1; b = 130; c = -1500;
Δ = b2-4ac
Δ = 1302-4·1·(-1500)
Δ = 22900
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:

$\sqrt{\Delta}=\sqrt{22900}=\sqrt{100*229}=\sqrt{100}*\sqrt{229}=10\sqrt{229}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(130)-10\sqrt{229}}{2*1}=\frac{-130-10\sqrt{229}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+10\sqrt{229}}{2*1}=\frac{-130+10\sqrt{229}}{2}
$