X=(-6x+125)(11x+6)

Solution for X=(-6x+125)(11x+6) equation:

X=(-6X+125)(11X+6)

We move all terms to the left:

X-((-6X+125)(11X+6))=0

We multiply parentheses ..

-((-66X^2-36X+1375X+750))+X=0


We calculate terms in parentheses: -((-66X^2-36X+1375X+750)), so:

(-66X^2-36X+1375X+750)

We get rid of parentheses

-66X^2-36X+1375X+750

We add all the numbers together, and all the variables

-66X^2+1339X+750

Back to the equation:

-(-66X^2+1339X+750)


We get rid of parentheses

66X^2-1339X+X-750=0

We add all the numbers together, and all the variables

66X^2-1338X-750=0

a = 66; b = -1338; c = -750;
Δ = b2-4ac
Δ = -13382-4·66·(-750)
Δ = 1988244
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:

$\sqrt{\Delta}=\sqrt{1988244}=\sqrt{36*55229}=\sqrt{36}*\sqrt{55229}=6\sqrt{55229}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1338)-6\sqrt{55229}}{2*66}=\frac{1338-6\sqrt{55229}}{132}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1338)+6\sqrt{55229}}{2*66}=\frac{1338+6\sqrt{55229}}{132}
$