-9x^2+144x=0

Solution for -9x^2+144x=0 equation:

-9x^2+144x=0

a = -9; b = 144; c = 0;
Δ = b2-4ac
Δ = 1442-4·(-9)·0
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(144)-144}{2*-9}=\frac{-288}{-18}
=+16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(144)+144}{2*-9}=\frac{0}{-18}
=0
$