4x^2-60x=+224

Solution for 4x^2-60x=+224 equation:

4x^2-60x=+224

We move all terms to the left:

4x^2-60x-(+224)=0

We add all the numbers together, and all the variables

4x^2-60x-224=0

a = 4; b = -60; c = -224;
Δ = b2-4ac
Δ = -602-4·4·(-224)
Δ = 7184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7184}=\sqrt{16*449}=\sqrt{16}*\sqrt{449}=4\sqrt{449}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-4\sqrt{449}}{2*4}=\frac{60-4\sqrt{449}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+4\sqrt{449}}{2*4}=\frac{60+4\sqrt{449}}{8}
$