1500=(x+140)x

Solution for 1500=(x+140)x equation:

1500=(x+140)x

We move all terms to the left:

1500-((x+140)x)=0


We calculate terms in parentheses: -((x+140)x), so:

(x+140)x

We multiply parentheses

x^2+140x

Back to the equation:

-(x^2+140x)


We get rid of parentheses

-x^2-140x+1500=0

We add all the numbers together, and all the variables

-1x^2-140x+1500=0

a = -1; b = -140; c = +1500;
Δ = b2-4ac
Δ = -1402-4·(-1)·1500
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-140)-160}{2*-1}=\frac{-20}{-2}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-140)+160}{2*-1}=\frac{300}{-2}
=-150
$