-4x(8+7x)=-10-6x

Solution for -4x(8+7x)=-10-6x equation:

-4x(8+7x)=-10-6x

We move all terms to the left:

-4x(8+7x)-(-10-6x)=0

We add all the numbers together, and all the variables

-4x(7x+8)-(-6x-10)=0

We multiply parentheses

-28x^2-32x-(-6x-10)=0

We get rid of parentheses

-28x^2-32x+6x+10=0

We add all the numbers together, and all the variables

-28x^2-26x+10=0

a = -28; b = -26; c = +10;
Δ = b2-4ac
Δ = -262-4·(-28)·10
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{-(-26)-2\sqrt{449}}{2*-28}=\frac{26-2\sqrt{449}}{-56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+2\sqrt{449}}{2*-28}=\frac{26+2\sqrt{449}}{-56}
$