25x^2+2=15x

Solution for 25x^2+2=15x equation:

25x^2+2=15x

We move all terms to the left:

25x^2+2-(15x)=0

a = 25; b = -15; c = +2;
Δ = b2-4ac
Δ = -152-4·25·2
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-5}{2*25}=\frac{10}{50}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+5}{2*25}=\frac{20}{50}
=2/5
$