-15(x+7)14x=63

Solution for -15(x+7)14x=63 equation:

-15(x+7)14x=63

We move all terms to the left:

-15(x+7)14x-(63)=0

We multiply parentheses

-210x^2-1470x-63=0

a = -210; b = -1470; c = -63;
Δ = b2-4ac
Δ = -14702-4·(-210)·(-63)
Δ = 2107980
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:

$\sqrt{\Delta}=\sqrt{2107980}=\sqrt{1764*1195}=\sqrt{1764}*\sqrt{1195}=42\sqrt{1195}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1470)-42\sqrt{1195}}{2*-210}=\frac{1470-42\sqrt{1195}}{-420}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1470)+42\sqrt{1195}}{2*-210}=\frac{1470+42\sqrt{1195}}{-420}
$