70x=2x^2

Solution for 70x=2x^2 equation:

70x=2x^2

We move all terms to the left:

70x-(2x^2)=0

determiningTheFunctionDomain
-2x^2+70x=0

a = -2; b = 70; c = 0;
Δ = b2-4ac
Δ = 702-4·(-2)·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-70}{2*-2}=\frac{-140}{-4}
=+35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+70}{2*-2}=\frac{0}{-4}
=0
$