-147=7(x+8)6x

Solution for -147=7(x+8)6x equation:

-147=7(x+8)6x

We move all terms to the left:

-147-(7(x+8)6x)=0


We calculate terms in parentheses: -(7(x+8)6x), so:

7(x+8)6x

We multiply parentheses

42x^2+336x

Back to the equation:

-(42x^2+336x)


We get rid of parentheses

-42x^2-336x-147=0

a = -42; b = -336; c = -147;
Δ = b2-4ac
Δ = -3362-4·(-42)·(-147)
Δ = 88200
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:

$\sqrt{\Delta}=\sqrt{88200}=\sqrt{44100*2}=\sqrt{44100}*\sqrt{2}=210\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-336)-210\sqrt{2}}{2*-42}=\frac{336-210\sqrt{2}}{-84}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-336)+210\sqrt{2}}{2*-42}=\frac{336+210\sqrt{2}}{-84}
$