-(7x-6)4x=-2(x+2)

Solution for -(7x-6)4x=-2(x+2) equation:

-(7x-6)4x=-2(x+2)

We move all terms to the left:

-(7x-6)4x-(-2(x+2))=0

We multiply parentheses

-28x^2+24x-(-2(x+2))=0


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

-2(x+2)

We multiply parentheses

-2x-4

Back to the equation:

-(-2x-4)


We get rid of parentheses

-28x^2+24x+2x+4=0

We add all the numbers together, and all the variables

-28x^2+26x+4=0

a = -28; b = 26; c = +4;
Δ = b2-4ac
Δ = 262-4·(-28)·4
Δ = 1124
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:

$\sqrt{\Delta}=\sqrt{1124}=\sqrt{4*281}=\sqrt{4}*\sqrt{281}=2\sqrt{281}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{281}}{2*-28}=\frac{-26-2\sqrt{281}}{-56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{281}}{2*-28}=\frac{-26+2\sqrt{281}}{-56}
$