2x(x+30)-(x-10)=0

Solution for 2x(x+30)-(x-10)=0 equation:

2x(x+30)-(x-10)=0

We multiply parentheses

2x^2+60x-(x-10)=0

We get rid of parentheses

2x^2+60x-x+10=0

We add all the numbers together, and all the variables

2x^2+59x+10=0

a = 2; b = 59; c = +10;
Δ = b2-4ac
Δ = 592-4·2·10
Δ = 3401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(59)-\sqrt{3401}}{2*2}=\frac{-59-\sqrt{3401}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+\sqrt{3401}}{2*2}=\frac{-59+\sqrt{3401}}{4}
$