4x^2+76x+280=760

Solution for 4x^2+76x+280=760 equation:

4x^2+76x+280=760

We move all terms to the left:

4x^2+76x+280-(760)=0

We add all the numbers together, and all the variables

4x^2+76x-480=0

a = 4; b = 76; c = -480;
Δ = b2-4ac
Δ = 762-4·4·(-480)
Δ = 13456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13456}=116$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-116}{2*4}=\frac{-192}{8}
=-24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+116}{2*4}=\frac{40}{8}
=5
$