-7x(3x-2)=-147

Solution for -7x(3x-2)=-147 equation:

-7x(3x-2)=-147

We move all terms to the left:

-7x(3x-2)-(-147)=0

We add all the numbers together, and all the variables

-7x(3x-2)+147=0

We multiply parentheses

-21x^2+14x+147=0

a = -21; b = 14; c = +147;
Δ = b2-4ac
Δ = 142-4·(-21)·147
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-112}{2*-21}=\frac{-126}{-42}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+112}{2*-21}=\frac{98}{-42}
=-2+1/3
$