25x+70=5x^2

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

25x+70=5x^2

We move all terms to the left:

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

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