7x^2-60x-875=0

Solution for 7x^2-60x-875=0 equation:

7x^2-60x-875=0

a = 7; b = -60; c = -875;
Δ = b2-4ac
Δ = -602-4·7·(-875)
Δ = 28100
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:

$\sqrt{\Delta}=\sqrt{28100}=\sqrt{100*281}=\sqrt{100}*\sqrt{281}=10\sqrt{281}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{281}}{2*7}=\frac{60-10\sqrt{281}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{281}}{2*7}=\frac{60+10\sqrt{281}}{14}
$