2x2+2x-60x=0

Solution for 2x2+2x-60x=0 equation:

2x^2+2x-60x=0

We add all the numbers together, and all the variables

2x^2-58x=0

a = 2; b = -58; c = 0;
Δ = b2-4ac
Δ = -582-4·2·0
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58)-58}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58)+58}{2*2}=\frac{116}{4}
=29
$