(-3x-14)5x=-70

Solution for (-3x-14)5x=-70 equation:

(-3x-14)5x=-70

We move all terms to the left:

(-3x-14)5x-(-70)=0

We add all the numbers together, and all the variables

(-3x-14)5x+70=0

We multiply parentheses

-15x^2-70x+70=0

a = -15; b = -70; c = +70;
Δ = b2-4ac
Δ = -702-4·(-15)·70
Δ = 9100
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:

$\sqrt{\Delta}=\sqrt{9100}=\sqrt{100*91}=\sqrt{100}*\sqrt{91}=10\sqrt{91}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-10\sqrt{91}}{2*-15}=\frac{70-10\sqrt{91}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+10\sqrt{91}}{2*-15}=\frac{70+10\sqrt{91}}{-30}
$