250=3x(x+1)/2

Solution for 250=3x(x+1)/2 equation:

250=3x(x+1)/2

We move all terms to the left:

250-(3x(x+1)/2)=0

We multiply all the terms by the denominator


-(3x(x+1)+250*2)=0


We calculate terms in parentheses: -(3x(x+1)+250*2), so:

3x(x+1)+250*2

We add all the numbers together, and all the variables

3x(x+1)+500

We multiply parentheses

3x^2+3x+500

Back to the equation:

-(3x^2+3x+500)


We get rid of parentheses

-3x^2-3x-500=0

a = -3; b = -3; c = -500;
Δ = b2-4ac
Δ = -32-4·(-3)·(-500)
Δ = -5991
Delta is less than zero, so there is no solution for the equation