-33x=-2x(x+1)

Solution for -33x=-2x(x+1) equation:

-33x=-2x(x+1)

We move all terms to the left:

-33x-(-2x(x+1))=0


We calculate terms in parentheses: -(-2x(x+1)), so:

-2x(x+1)

We multiply parentheses

-2x^2-2x

Back to the equation:

-(-2x^2-2x)


We get rid of parentheses

2x^2+2x-33x=0

We add all the numbers together, and all the variables

2x^2-31x=0

a = 2; b = -31; c = 0;
Δ = b2-4ac
Δ = -312-4·2·0
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-31}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+31}{2*2}=\frac{62}{4}
=15+1/2
$