1350=(x)(x-1)(10)

Solution for 1350=(x)(x-1)(10) equation:

1350=(x)(x-1)(10)

We move all terms to the left:

1350-((x)(x-1)(10))=0


We calculate terms in parentheses: -(x(x-1)10), so:

x(x-1)10

We multiply parentheses

10x^2-10x

Back to the equation:

-(10x^2-10x)


We get rid of parentheses

-10x^2+10x+1350=0

a = -10; b = 10; c = +1350;
Δ = b2-4ac
Δ = 102-4·(-10)·1350
Δ = 54100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{54100}=\sqrt{100*541}=\sqrt{100}*\sqrt{541}=10\sqrt{541}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10\sqrt{541}}{2*-10}=\frac{-10-10\sqrt{541}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10\sqrt{541}}{2*-10}=\frac{-10+10\sqrt{541}}{-20}
$