-14x(-9x)=35

Solution for -14x(-9x)=35 equation:

-14x(-9x)=35

We move all terms to the left:

-14x(-9x)-(35)=0

We multiply parentheses

126x^2-35=0

a = 126; b = 0; c = -35;
Δ = b2-4ac
Δ = 02-4·126·(-35)
Δ = 17640
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:

$\sqrt{\Delta}=\sqrt{17640}=\sqrt{1764*10}=\sqrt{1764}*\sqrt{10}=42\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42\sqrt{10}}{2*126}=\frac{0-42\sqrt{10}}{252}
=-\frac{42\sqrt{10}}{252}
=-\frac{\sqrt{10}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42\sqrt{10}}{2*126}=\frac{0+42\sqrt{10}}{252}
=\frac{42\sqrt{10}}{252}
=\frac{\sqrt{10}}{6}
$