170-5x=-7x(-2x-8)

Solution for 170-5x=-7x(-2x-8) equation:

170-5x=-7x(-2x-8)

We move all terms to the left:

170-5x-(-7x(-2x-8))=0


We calculate terms in parentheses: -(-7x(-2x-8)), so:

-7x(-2x-8)

We multiply parentheses

14x^2+56x

Back to the equation:

-(14x^2+56x)


We get rid of parentheses

-14x^2-5x-56x+170=0

We add all the numbers together, and all the variables

-14x^2-61x+170=0

a = -14; b = -61; c = +170;
Δ = b2-4ac
Δ = -612-4·(-14)·170
Δ = 13241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-61)-\sqrt{13241}}{2*-14}=\frac{61-\sqrt{13241}}{-28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{13241}}{2*-14}=\frac{61+\sqrt{13241}}{-28}
$