25x^2-7x-125=

Solution for 25x^2-7x-125= equation:

25x^2-7x-125=

We move all terms to the left:

25x^2-7x-125-()=0

We add all the numbers together, and all the variables

25x^2-7x=0

a = 25; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·25·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*25}=\frac{0}{50}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*25}=\frac{14}{50}
=7/25
$