750(x)+750(x+11)=25x(x+11)

Solution for 750(x)+750(x+11)=25x(x+11) equation:

750(x)+750(x+11)=25x(x+11)

We move all terms to the left:

750(x)+750(x+11)-(25x(x+11))=0

We multiply parentheses

750x+750x-(25x(x+11))+8250=0


We calculate terms in parentheses: -(25x(x+11)), so:

25x(x+11)

We multiply parentheses

25x^2+275x

Back to the equation:

-(25x^2+275x)


We add all the numbers together, and all the variables

1500x-(25x^2+275x)+8250=0

We get rid of parentheses

-25x^2+1500x-275x+8250=0

We add all the numbers together, and all the variables

-25x^2+1225x+8250=0

a = -25; b = 1225; c = +8250;
Δ = b2-4ac
Δ = 12252-4·(-25)·8250
Δ = 2325625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2325625}=1525$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1225)-1525}{2*-25}=\frac{-2750}{-50}
=+55
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1225)+1525}{2*-25}=\frac{300}{-50}
=-6
$