If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x(x+1)/2=120
We move all terms to the left:
x(x+1)/2-(120)=0
We multiply all the terms by the denominator
x(x+1)-120*2=0
We add all the numbers together, and all the variables
x(x+1)-240=0
We multiply parentheses
x^2+x-240=0
a = 1; b = 1; c = -240;
Δ = b2-4ac
Δ = 12-4·1·(-240)
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-31}{2*1}=\frac{-32}{2} =-16 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+31}{2*1}=\frac{30}{2} =15 $
| 7(-10+n)=-49 | | 6m-3=4m | | 24/2s-2=6/5 | | 5a-3=15 | | 2m-7=23 | | -494=-26n | | .2n+7=16 | | 4(d/3)=3(3d-6) | | 5x2+5=0 | | 4x-120=2x-40 | | x^2+0.013x-0.013=0 | | (X+4)(x^2-4x+3)=0 | | 4(x3)-6x=16 | | 4(x-30)=2(x-20) | | 6.f-(-19)=11f+23-20f | | 15^9x=9 | | 88=-4(-6+-8x) | | -20x+40=-28x | | 3(y+9)=-21 | | 2a-3a=1 | | √y-9=7 | | -15(0.333333-x)=25 | | -15(1/3-x)=25 | | -14(1/3-x)=25 | | 8x+15=15x+8 | | -6(2+a)=-6 | | 7b+4b-1b=10b | | 7b+4b-1b=2b | | 7y=3y-30 | | Y/6y=8+2y | | 12.3x=-36.9 | | X+x3=70 |