-5x(-7-4)x=-2(3x-4)

Solution for -5x(-7-4)x=-2(3x-4) equation:

-5x(-7-4)x=-2(3x-4)

We move all terms to the left:

-5x(-7-4)x-(-2(3x-4))=0

We add all the numbers together, and all the variables

-5x(-11)x-(-2(3x-4))=0

We multiply parentheses

55x^2-(-2(3x-4))=0


We calculate terms in parentheses: -(-2(3x-4)), so:

-2(3x-4)

We multiply parentheses

-6x+8

Back to the equation:

-(-6x+8)


We get rid of parentheses

55x^2+6x-8=0

a = 55; b = 6; c = -8;
Δ = b2-4ac
Δ = 62-4·55·(-8)
Δ = 1796
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:

$\sqrt{\Delta}=\sqrt{1796}=\sqrt{4*449}=\sqrt{4}*\sqrt{449}=2\sqrt{449}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{449}}{2*55}=\frac{-6-2\sqrt{449}}{110}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{449}}{2*55}=\frac{-6+2\sqrt{449}}{110}
$