(2x)^2=870*2x

Solution for (2x)^2=870*2x equation:

(2x)^2=870*2x

We move all terms to the left:

(2x)^2-(870*2x)=0

We add all the numbers together, and all the variables

2x^2-(+870*2x)=0

We get rid of parentheses

2x^2-870*2x=0

Wy multiply elements

2x^2-1740x=0

a = 2; b = -1740; c = 0;
Δ = b2-4ac
Δ = -17402-4·2·0
Δ = 3027600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3027600}=1740$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1740)-1740}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1740)+1740}{2*2}=\frac{3480}{4}
=870
$