49x=4x^2-60x+225

Solution for 49x=4x^2-60x+225 equation:

49x=4x^2-60x+225

We move all terms to the left:

49x-(4x^2-60x+225)=0

We get rid of parentheses

-4x^2+49x+60x-225=0

We add all the numbers together, and all the variables

-4x^2+109x-225=0

a = -4; b = 109; c = -225;
Δ = b2-4ac
Δ = 1092-4·(-4)·(-225)
Δ = 8281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8281}=91$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(109)-91}{2*-4}=\frac{-200}{-8}
=+25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(109)+91}{2*-4}=\frac{-18}{-8}
=2+1/4
$