25x^2-75x-700=0

Solution for 25x^2-75x-700=0 equation:

25x^2-75x-700=0

a = 25; b = -75; c = -700;
Δ = b2-4ac
Δ = -752-4·25·(-700)
Δ = 75625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{75625}=275$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-275}{2*25}=\frac{-200}{50}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+275}{2*25}=\frac{350}{50}
=7
$