-12x(x-12)=-9(1+7)

Solution for -12x(x-12)=-9(1+7) equation:

-12x(x-12)=-9(1+7)

We move all terms to the left:

-12x(x-12)-(-9(1+7))=0

We add all the numbers together, and all the variables

-12x(x-12)-(-98)=0

We add all the numbers together, and all the variables

-12x(x-12)+98=0

We multiply parentheses

-12x^2+144x+98=0

a = -12; b = 144; c = +98;
Δ = b2-4ac
Δ = 1442-4·(-12)·98
Δ = 25440
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:

$\sqrt{\Delta}=\sqrt{25440}=\sqrt{16*1590}=\sqrt{16}*\sqrt{1590}=4\sqrt{1590}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(144)-4\sqrt{1590}}{2*-12}=\frac{-144-4\sqrt{1590}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(144)+4\sqrt{1590}}{2*-12}=\frac{-144+4\sqrt{1590}}{-24}
$