5x^2-25x=70

Solution for 5x^2-25x=70 equation:

5x^2-25x=70

We move all terms to the left:

5x^2-25x-(70)=0

a = 5; b = -25; c = -70;
Δ = b2-4ac
Δ = -252-4·5·(-70)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-45}{2*5}=\frac{-20}{10}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+45}{2*5}=\frac{70}{10}
=7
$