0=16x^2-72x-144

Solution for 0=16x^2-72x-144 equation:

Simplifying
0 = 16x2 + -72x + -144

Reorder the terms:
0 = -144 + -72x + 16x2

Solving
0 = -144 + -72x + 16x2

Solving for variable 'x'.

Combine like terms: 0 + 144 = 144
144 + 72x + -16x2 = -144 + -72x + 16x2 + 144 + 72x + -16x2

Reorder the terms:
144 + 72x + -16x2 = -144 + 144 + -72x + 72x + 16x2 + -16x2

Combine like terms: -144 + 144 = 0
144 + 72x + -16x2 = 0 + -72x + 72x + 16x2 + -16x2
144 + 72x + -16x2 = -72x + 72x + 16x2 + -16x2

Combine like terms: -72x + 72x = 0
144 + 72x + -16x2 = 0 + 16x2 + -16x2
144 + 72x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
144 + 72x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(18 + 9x + -2x2) = 0

Factor a trinomial.
8((6 + -1x)(3 + 2x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {6, -1.5}