7(6x+7)(3x-5)=0

Solution for 7(6x+7)(3x-5)=0 equation:

7(6x+7)(3x-5)=0

We multiply parentheses ..

7(+18x^2-30x+21x-35)=0

We multiply parentheses

126x^2-210x+147x-245=0

We add all the numbers together, and all the variables

126x^2-63x-245=0

a = 126; b = -63; c = -245;
Δ = b2-4ac
Δ = -632-4·126·(-245)
Δ = 127449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{127449}=357$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-357}{2*126}=\frac{-294}{252}
=-1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+357}{2*126}=\frac{420}{252}
=1+2/3
$